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Finding the Fourth Proportional to 144,549.66, 216,767.01 and 55,746.54

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Solution

The fourth proportional to 144,549.66, 216,767.01 and 55,746.54 is: 83,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,549.66 : 216,767.01 = 55,746.54 : x
  2. Step 2: Convert to fraction form
    144,549.66/216,767.01 = 55,746.54/x
  3. Step 3: Cross multiply
    144,549.66x = 216,767.01 × 55,746.54
  4. Step 4: Simplify right side
    144,549.66x = 12,084,010,793.65
  5. Step 5: Solve for x
    x = 12,084,010,793.65/144,549.66
  6. Step 6: Final answer
    x = 83,597.64

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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.