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Finding the Fourth Proportional to 169,413.48, 233,764.02 and 97,780.14

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Solution

The fourth proportional to 169,413.48, 233,764.02 and 97,780.14 is: 134,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,413.48 : 233,764.02 = 97,780.14 : x
  2. Step 2: Convert to fraction form
    169,413.48/233,764.02 = 97,780.14/x
  3. Step 3: Cross multiply
    169,413.48x = 233,764.02 × 97,780.14
  4. Step 4: Simplify right side
    169,413.48x = 22,857,478,602.56
  5. Step 5: Solve for x
    x = 22,857,478,602.56/169,413.48
  6. Step 6: Final answer
    x = 134,921.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.