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Finding the Fourth Proportional to 144,117.87, 216,172.11 and 65,232.15

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Solution

The fourth proportional to 144,117.87, 216,172.11 and 65,232.15 is: 97,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117.87 : 216,172.11 = 65,232.15 : x
  2. Step 2: Convert to fraction form
    144,117.87/216,172.11 = 65,232.15/x
  3. Step 3: Cross multiply
    144,117.87x = 216,172.11 × 65,232.15
  4. Step 4: Simplify right side
    144,117.87x = 14,101,371,505.34
  5. Step 5: Solve for x
    x = 14,101,371,505.34/144,117.87
  6. Step 6: Final answer
    x = 97,846.10

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1.5x scale

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.