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Finding the Fourth Proportional to 219,951.60, 329,708.70 and 101,416.20

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Solution

The fourth proportional to 219,951.60, 329,708.70 and 101,416.20 is: 152,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951.60 : 329,708.70 = 101,416.20 : x
  2. Step 2: Convert to fraction form
    219,951.60/329,708.70 = 101,416.20/x
  3. Step 3: Cross multiply
    219,951.60x = 329,708.70 × 101,416.20
  4. Step 4: Simplify right side
    219,951.60x = 33,437,803,460.94
  5. Step 5: Solve for x
    x = 33,437,803,460.94/219,951.60
  6. Step 6: Final answer
    x = 152,023.46

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1.5x scale

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.