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Finding the Fourth Proportional to 102,191.64, 153,287.52 and 28,319.64

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Solution

The fourth proportional to 102,191.64, 153,287.52 and 28,319.64 is: 42,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.64 : 153,287.52 = 28,319.64 : x
  2. Step 2: Convert to fraction form
    102,191.64/153,287.52 = 28,319.64/x
  3. Step 3: Cross multiply
    102,191.64x = 153,287.52 × 28,319.64
  4. Step 4: Simplify right side
    102,191.64x = 4,341,047,382.89
  5. Step 5: Solve for x
    x = 4,341,047,382.89/102,191.64
  6. Step 6: Final answer
    x = 42,479.48

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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.