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Finding the Fourth Proportional to 174,413.80, 261,351.90 and 129,831.40

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Solution

The fourth proportional to 174,413.80, 261,351.90 and 129,831.40 is: 194,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,413.80 : 261,351.90 = 129,831.40 : x
  2. Step 2: Convert to fraction form
    174,413.80/261,351.90 = 129,831.40/x
  3. Step 3: Cross multiply
    174,413.80x = 261,351.90 × 129,831.40
  4. Step 4: Simplify right side
    174,413.80x = 33,931,683,069.66
  5. Step 5: Solve for x
    x = 33,931,683,069.66/174,413.80
  6. Step 6: Final answer
    x = 194,547.01

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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.