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Finding the Fourth Proportional to 96,602.31, 144,945.18 and 52,260.30

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Solution

The fourth proportional to 96,602.31, 144,945.18 and 52,260.30 is: 78,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,602.31 : 144,945.18 = 52,260.30 : x
  2. Step 2: Convert to fraction form
    96,602.31/144,945.18 = 52,260.30/x
  3. Step 3: Cross multiply
    96,602.31x = 144,945.18 × 52,260.30
  4. Step 4: Simplify right side
    96,602.31x = 7,574,878,590.35
  5. Step 5: Solve for x
    x = 7,574,878,590.35/96,602.31
  6. Step 6: Final answer
    x = 78,413.02

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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.