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Finding the Fourth Proportional to 657,686.65, 986,153.16 and 202,159.26

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Solution

The fourth proportional to 657,686.65, 986,153.16 and 202,159.26 is: 303,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,686.65 : 986,153.16 = 202,159.26 : x
  2. Step 2: Convert to fraction form
    657,686.65/986,153.16 = 202,159.26/x
  3. Step 3: Cross multiply
    657,686.65x = 986,153.16 × 202,159.26
  4. Step 4: Simplify right side
    657,686.65x = 199,359,988,141.50
  5. Step 5: Solve for x
    x = 199,359,988,141.50/657,686.65
  6. Step 6: Final answer
    x = 303,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.