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Finding the Fourth Proportional to 302,867.60, 454,301.40 and 103,413.20

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Solution

The fourth proportional to 302,867.60, 454,301.40 and 103,413.20 is: 155,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,867.60 : 454,301.40 = 103,413.20 : x
  2. Step 2: Convert to fraction form
    302,867.60/454,301.40 = 103,413.20/x
  3. Step 3: Cross multiply
    302,867.60x = 454,301.40 × 103,413.20
  4. Step 4: Simplify right side
    302,867.60x = 46,980,761,538.48
  5. Step 5: Solve for x
    x = 46,980,761,538.48/302,867.60
  6. Step 6: Final answer
    x = 155,119.80

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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.