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Finding the Fourth Proportional to 302,854.60, 454,281.90 and 103,400.20

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Solution

The fourth proportional to 302,854.60, 454,281.90 and 103,400.20 is: 155,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,854.60 : 454,281.90 = 103,400.20 : x
  2. Step 2: Convert to fraction form
    302,854.60/454,281.90 = 103,400.20/x
  3. Step 3: Cross multiply
    302,854.60x = 454,281.90 × 103,400.20
  4. Step 4: Simplify right side
    302,854.60x = 46,972,839,316.38
  5. Step 5: Solve for x
    x = 46,972,839,316.38/302,854.60
  6. Step 6: Final answer
    x = 155,100.30

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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.