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Finding the Fourth Proportional to 561,542.70, 842,063.76 and 162,088.50

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Solution

The fourth proportional to 561,542.70, 842,063.76 and 162,088.50 is: 243,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,542.70 : 842,063.76 = 162,088.50 : x
  2. Step 2: Convert to fraction form
    561,542.70/842,063.76 = 162,088.50/x
  3. Step 3: Cross multiply
    561,542.70x = 842,063.76 × 162,088.50
  4. Step 4: Simplify right side
    561,542.70x = 136,488,851,762.76
  5. Step 5: Solve for x
    x = 136,488,851,762.76/561,542.70
  6. Step 6: Final answer
    x = 243,060.50

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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.