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Finding the Fourth Proportional to 153,607.82, 230,389.86 and 48,413.12

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Solution

The fourth proportional to 153,607.82, 230,389.86 and 48,413.12 is: 72,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607.82 : 230,389.86 = 48,413.12 : x
  2. Step 2: Convert to fraction form
    153,607.82/230,389.86 = 48,413.12/x
  3. Step 3: Cross multiply
    153,607.82x = 230,389.86 × 48,413.12
  4. Step 4: Simplify right side
    153,607.82x = 11,153,891,938.96
  5. Step 5: Solve for x
    x = 11,153,891,938.96/153,607.82
  6. Step 6: Final answer
    x = 72,612.79

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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.