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Finding the Fourth Proportional to 178,164.18, 245,870.53 and 101,681.75

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Solution

The fourth proportional to 178,164.18, 245,870.53 and 101,681.75 is: 140,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.18 : 245,870.53 = 101,681.75 : x
  2. Step 2: Convert to fraction form
    178,164.18/245,870.53 = 101,681.75/x
  3. Step 3: Cross multiply
    178,164.18x = 245,870.53 × 101,681.75
  4. Step 4: Simplify right side
    178,164.18x = 25,000,546,124.30
  5. Step 5: Solve for x
    x = 25,000,546,124.30/178,164.18
  6. Step 6: Final answer
    x = 140,323.08

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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.