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Finding the Fourth Proportional to 157,329.50, 235,852.53 and 57,419.58

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Solution

The fourth proportional to 157,329.50, 235,852.53 and 57,419.58 is: 86,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,329.50 : 235,852.53 = 57,419.58 : x
  2. Step 2: Convert to fraction form
    157,329.50/235,852.53 = 57,419.58/x
  3. Step 3: Cross multiply
    157,329.50x = 235,852.53 × 57,419.58
  4. Step 4: Simplify right side
    157,329.50x = 13,542,553,214.54
  5. Step 5: Solve for x
    x = 13,542,553,214.54/157,329.50
  6. Step 6: Final answer
    x = 86,077.65

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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.