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Finding the Fourth Proportional to 144,024.10, 216,036.15 and 144,024.10

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Solution

The fourth proportional to 144,024.10, 216,036.15 and 144,024.10 is: 216,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,024.10 : 216,036.15 = 144,024.10 : x
  2. Step 2: Convert to fraction form
    144,024.10/216,036.15 = 144,024.10/x
  3. Step 3: Cross multiply
    144,024.10x = 216,036.15 × 144,024.10
  4. Step 4: Simplify right side
    144,024.10x = 31,114,412,071.22
  5. Step 5: Solve for x
    x = 31,114,412,071.22/144,024.10
  6. Step 6: Final answer
    x = 216,036.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.