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Finding the Fourth Proportional to 191,356.20, 286,904.70 and 101,413.80

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Solution

The fourth proportional to 191,356.20, 286,904.70 and 101,413.80 is: 152,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,356.20 : 286,904.70 = 101,413.80 : x
  2. Step 2: Convert to fraction form
    191,356.20/286,904.70 = 101,413.80/x
  3. Step 3: Cross multiply
    191,356.20x = 286,904.70 × 101,413.80
  4. Step 4: Simplify right side
    191,356.20x = 29,096,095,864.86
  5. Step 5: Solve for x
    x = 29,096,095,864.86/191,356.20
  6. Step 6: Final answer
    x = 152,052.02

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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.