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Finding the Fourth Proportional to 128,967.40, 193,557.70 and 65,834.16

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Solution

The fourth proportional to 128,967.40, 193,557.70 and 65,834.16 is: 98,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,967.40 : 193,557.70 = 65,834.16 : x
  2. Step 2: Convert to fraction form
    128,967.40/193,557.70 = 65,834.16/x
  3. Step 3: Cross multiply
    128,967.40x = 193,557.70 × 65,834.16
  4. Step 4: Simplify right side
    128,967.40x = 12,742,708,591.03
  5. Step 5: Solve for x
    x = 12,742,708,591.03/128,967.40
  6. Step 6: Final answer
    x = 98,805.66

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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.