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Finding the Fourth Proportional to 157,869.84, 217,866 and 86,254.32

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Solution

The fourth proportional to 157,869.84, 217,866 and 86,254.32 is: 119,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869.84 : 217,866 = 86,254.32 : x
  2. Step 2: Convert to fraction form
    157,869.84/217,866 = 86,254.32/x
  3. Step 3: Cross multiply
    157,869.84x = 217,866 × 86,254.32
  4. Step 4: Simplify right side
    157,869.84x = 18,791,883,681.12
  5. Step 5: Solve for x
    x = 18,791,883,681.12/157,869.84
  6. Step 6: Final answer
    x = 119,034.03

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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.