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Finding the Fourth Proportional to 176,413.46, 243,433.02 and 99,917.30

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Solution

The fourth proportional to 176,413.46, 243,433.02 and 99,917.30 is: 137,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413.46 : 243,433.02 = 99,917.30 : x
  2. Step 2: Convert to fraction form
    176,413.46/243,433.02 = 99,917.30/x
  3. Step 3: Cross multiply
    176,413.46x = 243,433.02 × 99,917.30
  4. Step 4: Simplify right side
    176,413.46x = 24,323,170,089.25
  5. Step 5: Solve for x
    x = 24,323,170,089.25/176,413.46
  6. Step 6: Final answer
    x = 137,875.93

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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.