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Finding the Fourth Proportional to 97,321.20, 145,981.80 and 77,638.20

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Solution

The fourth proportional to 97,321.20, 145,981.80 and 77,638.20 is: 116,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.20 : 145,981.80 = 77,638.20 : x
  2. Step 2: Convert to fraction form
    97,321.20/145,981.80 = 77,638.20/x
  3. Step 3: Cross multiply
    97,321.20x = 145,981.80 × 77,638.20
  4. Step 4: Simplify right side
    97,321.20x = 11,333,764,184.76
  5. Step 5: Solve for x
    x = 11,333,764,184.76/97,321.20
  6. Step 6: Final answer
    x = 116,457.30

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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.