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Finding the Fourth Proportional to 210,098.39, 289,937.87 and 114,607.08

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Solution

The fourth proportional to 210,098.39, 289,937.87 and 114,607.08 is: 158,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.39 : 289,937.87 = 114,607.08 : x
  2. Step 2: Convert to fraction form
    210,098.39/289,937.87 = 114,607.08/x
  3. Step 3: Cross multiply
    210,098.39x = 289,937.87 × 114,607.08
  4. Step 4: Simplify right side
    210,098.39x = 33,228,932,089.08
  5. Step 5: Solve for x
    x = 33,228,932,089.08/210,098.39
  6. Step 6: Final answer
    x = 158,158.91

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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.