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Finding the Fourth Proportional to 207,042.70, 310,564.05 and 144,057.10

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Solution

The fourth proportional to 207,042.70, 310,564.05 and 144,057.10 is: 216,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,042.70 : 310,564.05 = 144,057.10 : x
  2. Step 2: Convert to fraction form
    207,042.70/310,564.05 = 144,057.10/x
  3. Step 3: Cross multiply
    207,042.70x = 310,564.05 × 144,057.10
  4. Step 4: Simplify right side
    207,042.70x = 44,738,956,407.26
  5. Step 5: Solve for x
    x = 44,738,956,407.26/207,042.70
  6. Step 6: Final answer
    x = 216,085.65

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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.