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Finding the Fourth Proportional to 210,068.94, 289,894.96 and 114,575.34

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Solution

The fourth proportional to 210,068.94, 289,894.96 and 114,575.34 is: 158,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,068.94 : 289,894.96 = 114,575.34 : x
  2. Step 2: Convert to fraction form
    210,068.94/289,894.96 = 114,575.34/x
  3. Step 3: Cross multiply
    210,068.94x = 289,894.96 × 114,575.34
  4. Step 4: Simplify right side
    210,068.94x = 33,214,813,606.29
  5. Step 5: Solve for x
    x = 33,214,813,606.29/210,068.94
  6. Step 6: Final answer
    x = 158,113.87

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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.