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Finding the Fourth Proportional to 242,633.50, 363,547.74 and 147,576.04

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Solution

The fourth proportional to 242,633.50, 363,547.74 and 147,576.04 is: 221,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,633.50 : 363,547.74 = 147,576.04 : x
  2. Step 2: Convert to fraction form
    242,633.50/363,547.74 = 147,576.04/x
  3. Step 3: Cross multiply
    242,633.50x = 363,547.74 × 147,576.04
  4. Step 4: Simplify right side
    242,633.50x = 53,650,935,820.15
  5. Step 5: Solve for x
    x = 53,650,935,820.15/242,633.50
  6. Step 6: Final answer
    x = 221,119.24

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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.