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Finding the Fourth Proportional to 171,681.40, 257,435.70 and 101,582.20

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Solution

The fourth proportional to 171,681.40, 257,435.70 and 101,582.20 is: 152,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,681.40 : 257,435.70 = 101,582.20 : x
  2. Step 2: Convert to fraction form
    171,681.40/257,435.70 = 101,582.20/x
  3. Step 3: Cross multiply
    171,681.40x = 257,435.70 × 101,582.20
  4. Step 4: Simplify right side
    171,681.40x = 26,150,884,764.54
  5. Step 5: Solve for x
    x = 26,150,884,764.54/171,681.40
  6. Step 6: Final answer
    x = 152,322.18

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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.