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Finding the Fourth Proportional to 360,342.60, 540,091.70 and 146,977.35

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Solution

The fourth proportional to 360,342.60, 540,091.70 and 146,977.35 is: 220,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,342.60 : 540,091.70 = 146,977.35 : x
  2. Step 2: Convert to fraction form
    360,342.60/540,091.70 = 146,977.35/x
  3. Step 3: Cross multiply
    360,342.60x = 540,091.70 × 146,977.35
  4. Step 4: Simplify right side
    360,342.60x = 79,381,246,823.00
  5. Step 5: Solve for x
    x = 79,381,246,823.00/360,342.60
  6. Step 6: Final answer
    x = 220,293.82

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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.