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Finding the Fourth Proportional to 130,413.60, 182,972.70 and 130,413.60

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Solution

The fourth proportional to 130,413.60, 182,972.70 and 130,413.60 is: 182,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413.60 : 182,972.70 = 130,413.60 : x
  2. Step 2: Convert to fraction form
    130,413.60/182,972.70 = 130,413.60/x
  3. Step 3: Cross multiply
    130,413.60x = 182,972.70 × 130,413.60
  4. Step 4: Simplify right side
    130,413.60x = 23,862,128,508.72
  5. Step 5: Solve for x
    x = 23,862,128,508.72/130,413.60
  6. Step 6: Final answer
    x = 182,972.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.