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Finding the Fourth Proportional to 412,117.10, 618,175.65 and 127,807.10

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Solution

The fourth proportional to 412,117.10, 618,175.65 and 127,807.10 is: 191,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,117.10 : 618,175.65 = 127,807.10 : x
  2. Step 2: Convert to fraction form
    412,117.10/618,175.65 = 127,807.10/x
  3. Step 3: Cross multiply
    412,117.10x = 618,175.65 × 127,807.10
  4. Step 4: Simplify right side
    412,117.10x = 79,007,237,117.12
  5. Step 5: Solve for x
    x = 79,007,237,117.12/412,117.10
  6. Step 6: Final answer
    x = 191,710.65

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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.