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Finding the Fourth Proportional to 135,345.64, 202,948.51 and 59,413.10

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Solution

The fourth proportional to 135,345.64, 202,948.51 and 59,413.10 is: 89,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,345.64 : 202,948.51 = 59,413.10 : x
  2. Step 2: Convert to fraction form
    135,345.64/202,948.51 = 59,413.10/x
  3. Step 3: Cross multiply
    135,345.64x = 202,948.51 × 59,413.10
  4. Step 4: Simplify right side
    135,345.64x = 12,057,799,822.42
  5. Step 5: Solve for x
    x = 12,057,799,822.42/135,345.64
  6. Step 6: Final answer
    x = 89,088.94

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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.