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Finding the Fourth Proportional to 157,092.84, 235,675.71 and 51,905.43

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Solution

The fourth proportional to 157,092.84, 235,675.71 and 51,905.43 is: 77,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092.84 : 235,675.71 = 51,905.43 : x
  2. Step 2: Convert to fraction form
    157,092.84/235,675.71 = 51,905.43/x
  3. Step 3: Cross multiply
    157,092.84x = 235,675.71 × 51,905.43
  4. Step 4: Simplify right side
    157,092.84x = 12,232,850,146.53
  5. Step 5: Solve for x
    x = 12,232,850,146.53/157,092.84
  6. Step 6: Final answer
    x = 77,870.19

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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.