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Finding the Fourth Proportional to 149,775.68, 224,659.14 and 61,007.24

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Solution

The fourth proportional to 149,775.68, 224,659.14 and 61,007.24 is: 91,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775.68 : 224,659.14 = 61,007.24 : x
  2. Step 2: Convert to fraction form
    149,775.68/224,659.14 = 61,007.24/x
  3. Step 3: Cross multiply
    149,775.68x = 224,659.14 × 61,007.24
  4. Step 4: Simplify right side
    149,775.68x = 13,705,834,072.17
  5. Step 5: Solve for x
    x = 13,705,834,072.17/149,775.68
  6. Step 6: Final answer
    x = 91,509.08

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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.