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Finding the Fourth Proportional to 272,035.90, 408,053.85 and 146,064.70

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Solution

The fourth proportional to 272,035.90, 408,053.85 and 146,064.70 is: 219,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,035.90 : 408,053.85 = 146,064.70 : x
  2. Step 2: Convert to fraction form
    272,035.90/408,053.85 = 146,064.70/x
  3. Step 3: Cross multiply
    272,035.90x = 408,053.85 × 146,064.70
  4. Step 4: Simplify right side
    272,035.90x = 59,602,263,184.10
  5. Step 5: Solve for x
    x = 59,602,263,184.10/272,035.90
  6. Step 6: Final answer
    x = 219,097.05

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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.