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Finding the Fourth Proportional to 158,245.64, 218,280.62 and 97,834.76

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Solution

The fourth proportional to 158,245.64, 218,280.62 and 97,834.76 is: 134,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,245.64 : 218,280.62 = 97,834.76 : x
  2. Step 2: Convert to fraction form
    158,245.64/218,280.62 = 97,834.76/x
  3. Step 3: Cross multiply
    158,245.64x = 218,280.62 × 97,834.76
  4. Step 4: Simplify right side
    158,245.64x = 21,355,432,070.35
  5. Step 5: Solve for x
    x = 21,355,432,070.35/158,245.64
  6. Step 6: Final answer
    x = 134,951.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.