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Finding the Fourth Proportional to 144,596.17, 216,931.65 and 84,675.25

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Solution

The fourth proportional to 144,596.17, 216,931.65 and 84,675.25 is: 127,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,596.17 : 216,931.65 = 84,675.25 : x
  2. Step 2: Convert to fraction form
    144,596.17/216,931.65 = 84,675.25/x
  3. Step 3: Cross multiply
    144,596.17x = 216,931.65 × 84,675.25
  4. Step 4: Simplify right side
    144,596.17x = 18,368,741,696.66
  5. Step 5: Solve for x
    x = 18,368,741,696.66/144,596.17
  6. Step 6: Final answer
    x = 127,034.77

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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.