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Finding the Fourth Proportional to 157,646.40, 236,469.60 and 74,702.40

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Solution

The fourth proportional to 157,646.40, 236,469.60 and 74,702.40 is: 112,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,646.40 : 236,469.60 = 74,702.40 : x
  2. Step 2: Convert to fraction form
    157,646.40/236,469.60 = 74,702.40/x
  3. Step 3: Cross multiply
    157,646.40x = 236,469.60 × 74,702.40
  4. Step 4: Simplify right side
    157,646.40x = 17,664,846,647.04
  5. Step 5: Solve for x
    x = 17,664,846,647.04/157,646.40
  6. Step 6: Final answer
    x = 112,053.60

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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.