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Finding the Fourth Proportional to 157,118.82, 235,715.13 and 51,937.77

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Solution

The fourth proportional to 157,118.82, 235,715.13 and 51,937.77 is: 77,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,118.82 : 235,715.13 = 51,937.77 : x
  2. Step 2: Convert to fraction form
    157,118.82/235,715.13 = 51,937.77/x
  3. Step 3: Cross multiply
    157,118.82x = 235,715.13 × 51,937.77
  4. Step 4: Simplify right side
    157,118.82x = 12,242,518,207.46
  5. Step 5: Solve for x
    x = 12,242,518,207.46/157,118.82
  6. Step 6: Final answer
    x = 77,918.85

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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.