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Finding the Fourth Proportional to 257,218.61, 354,957.85 and 142,497.01

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Solution

The fourth proportional to 257,218.61, 354,957.85 and 142,497.01 is: 196,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,218.61 : 354,957.85 = 142,497.01 : x
  2. Step 2: Convert to fraction form
    257,218.61/354,957.85 = 142,497.01/x
  3. Step 3: Cross multiply
    257,218.61x = 354,957.85 × 142,497.01
  4. Step 4: Simplify right side
    257,218.61x = 50,580,432,301.03
  5. Step 5: Solve for x
    x = 50,580,432,301.03/257,218.61
  6. Step 6: Final answer
    x = 196,643.75

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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.