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Finding the Fourth Proportional to 144,143.18, 216,039.29 and 102,035.19

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Solution

The fourth proportional to 144,143.18, 216,039.29 and 102,035.19 is: 152,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,143.18 : 216,039.29 = 102,035.19 : x
  2. Step 2: Convert to fraction form
    144,143.18/216,039.29 = 102,035.19/x
  3. Step 3: Cross multiply
    144,143.18x = 216,039.29 × 102,035.19
  4. Step 4: Simplify right side
    144,143.18x = 22,043,609,492.44
  5. Step 5: Solve for x
    x = 22,043,609,492.44/144,143.18
  6. Step 6: Final answer
    x = 152,928.57

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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.