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Finding the Fourth Proportional to 144,417.84, 216,733.17 and 68,516.66

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Solution

The fourth proportional to 144,417.84, 216,733.17 and 68,516.66 is: 102,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,417.84 : 216,733.17 = 68,516.66 : x
  2. Step 2: Convert to fraction form
    144,417.84/216,733.17 = 68,516.66/x
  3. Step 3: Cross multiply
    144,417.84x = 216,733.17 × 68,516.66
  4. Step 4: Simplify right side
    144,417.84x = 14,849,831,835.95
  5. Step 5: Solve for x
    x = 14,849,831,835.95/144,417.84
  6. Step 6: Final answer
    x = 102,825.47

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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.