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Finding the Fourth Proportional to 102,599.32, 153,911.24 and 97,000.60

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Solution

The fourth proportional to 102,599.32, 153,911.24 and 97,000.60 is: 145,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.32 : 153,911.24 = 97,000.60 : x
  2. Step 2: Convert to fraction form
    102,599.32/153,911.24 = 97,000.60/x
  3. Step 3: Cross multiply
    102,599.32x = 153,911.24 × 97,000.60
  4. Step 4: Simplify right side
    102,599.32x = 14,929,482,626.74
  5. Step 5: Solve for x
    x = 14,929,482,626.74/102,599.32
  6. Step 6: Final answer
    x = 145,512.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.