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Finding the Fourth Proportional to 123,038.34, 169,714.89 and 77,637.03

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Solution

The fourth proportional to 123,038.34, 169,714.89 and 77,637.03 is: 107,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,038.34 : 169,714.89 = 77,637.03 : x
  2. Step 2: Convert to fraction form
    123,038.34/169,714.89 = 77,637.03/x
  3. Step 3: Cross multiply
    123,038.34x = 169,714.89 × 77,637.03
  4. Step 4: Simplify right side
    123,038.34x = 13,176,160,006.38
  5. Step 5: Solve for x
    x = 13,176,160,006.38/123,038.34
  6. Step 6: Final answer
    x = 107,089.87

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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.