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Finding the Fourth Proportional to 171,807.30, 257,905.35 and 101,726.10

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Solution

The fourth proportional to 171,807.30, 257,905.35 and 101,726.10 is: 152,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,807.30 : 257,905.35 = 101,726.10 : x
  2. Step 2: Convert to fraction form
    171,807.30/257,905.35 = 101,726.10/x
  3. Step 3: Cross multiply
    171,807.30x = 257,905.35 × 101,726.10
  4. Step 4: Simplify right side
    171,807.30x = 26,235,705,424.64
  5. Step 5: Solve for x
    x = 26,235,705,424.64/171,807.30
  6. Step 6: Final answer
    x = 152,704.25

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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.