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Finding the Fourth Proportional to 171,962.60, 257,534.30 and 105,607.40

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Solution

The fourth proportional to 171,962.60, 257,534.30 and 105,607.40 is: 158,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,962.60 : 257,534.30 = 105,607.40 : x
  2. Step 2: Convert to fraction form
    171,962.60/257,534.30 = 105,607.40/x
  3. Step 3: Cross multiply
    171,962.60x = 257,534.30 × 105,607.40
  4. Step 4: Simplify right side
    171,962.60x = 27,197,527,833.82
  5. Step 5: Solve for x
    x = 27,197,527,833.82/171,962.60
  6. Step 6: Final answer
    x = 158,159.55

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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.