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Finding the Fourth Proportional to 266,417.16, 399,366 and 106,445.40

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Solution

The fourth proportional to 266,417.16, 399,366 and 106,445.40 is: 159,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,417.16 : 399,366 = 106,445.40 : x
  2. Step 2: Convert to fraction form
    266,417.16/399,366 = 106,445.40/x
  3. Step 3: Cross multiply
    266,417.16x = 399,366 × 106,445.40
  4. Step 4: Simplify right side
    266,417.16x = 42,510,673,616.40
  5. Step 5: Solve for x
    x = 42,510,673,616.40/266,417.16
  6. Step 6: Final answer
    x = 159,564.32

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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.