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Finding the Fourth Proportional to 224,565.76, 336,804.48 and 106,220

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Solution

The fourth proportional to 224,565.76, 336,804.48 and 106,220 is: 159,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565.76 : 336,804.48 = 106,220 : x
  2. Step 2: Convert to fraction form
    224,565.76/336,804.48 = 106,220/x
  3. Step 3: Cross multiply
    224,565.76x = 336,804.48 × 106,220
  4. Step 4: Simplify right side
    224,565.76x = 35,775,371,865.60
  5. Step 5: Solve for x
    x = 35,775,371,865.60/224,565.76
  6. Step 6: Final answer
    x = 159,309.11

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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.