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Finding the Fourth Proportional to 207,962.30, 312,051.45 and 97,154.30

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Solution

The fourth proportional to 207,962.30, 312,051.45 and 97,154.30 is: 145,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,962.30 : 312,051.45 = 97,154.30 : x
  2. Step 2: Convert to fraction form
    207,962.30/312,051.45 = 97,154.30/x
  3. Step 3: Cross multiply
    207,962.30x = 312,051.45 × 97,154.30
  4. Step 4: Simplify right side
    207,962.30x = 30,317,140,188.74
  5. Step 5: Solve for x
    x = 30,317,140,188.74/207,962.30
  6. Step 6: Final answer
    x = 145,781.90

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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.