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Finding the Fourth Proportional to 189,686.90, 261,463.88 and 128,413.78

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Solution

The fourth proportional to 189,686.90, 261,463.88 and 128,413.78 is: 177,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,686.90 : 261,463.88 = 128,413.78 : x
  2. Step 2: Convert to fraction form
    189,686.90/261,463.88 = 128,413.78/x
  3. Step 3: Cross multiply
    189,686.90x = 261,463.88 × 128,413.78
  4. Step 4: Simplify right side
    189,686.90x = 33,575,564,831.64
  5. Step 5: Solve for x
    x = 33,575,564,831.64/189,686.90
  6. Step 6: Final answer
    x = 177,005.18

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1.5x scale

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.