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Finding the Fourth Proportional to 153,413.60, 230,120.40 and 142,008.80

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Solution

The fourth proportional to 153,413.60, 230,120.40 and 142,008.80 is: 213,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,413.60 : 230,120.40 = 142,008.80 : x
  2. Step 2: Convert to fraction form
    153,413.60/230,120.40 = 142,008.80/x
  3. Step 3: Cross multiply
    153,413.60x = 230,120.40 × 142,008.80
  4. Step 4: Simplify right side
    153,413.60x = 32,679,121,859.52
  5. Step 5: Solve for x
    x = 32,679,121,859.52/153,413.60
  6. Step 6: Final answer
    x = 213,013.20

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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.