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Finding the Fourth Proportional to 142,277.40, 213,426.90 and 42,429.78

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Solution

The fourth proportional to 142,277.40, 213,426.90 and 42,429.78 is: 63,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,277.40 : 213,426.90 = 42,429.78 : x
  2. Step 2: Convert to fraction form
    142,277.40/213,426.90 = 42,429.78/x
  3. Step 3: Cross multiply
    142,277.40x = 213,426.90 × 42,429.78
  4. Step 4: Simplify right side
    142,277.40x = 9,055,656,413.08
  5. Step 5: Solve for x
    x = 9,055,656,413.08/142,277.40
  6. Step 6: Final answer
    x = 63,647.89

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1.5x scale

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.