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Finding the Fourth Proportional to 210,024.76, 289,841.44 and 119,384.52

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Solution

The fourth proportional to 210,024.76, 289,841.44 and 119,384.52 is: 164,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,024.76 : 289,841.44 = 119,384.52 : x
  2. Step 2: Convert to fraction form
    210,024.76/289,841.44 = 119,384.52/x
  3. Step 3: Cross multiply
    210,024.76x = 289,841.44 × 119,384.52
  4. Step 4: Simplify right side
    210,024.76x = 34,602,581,190.51
  5. Step 5: Solve for x
    x = 34,602,581,190.51/210,024.76
  6. Step 6: Final answer
    x = 164,754.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.