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Finding the Fourth Proportional to 106,901.71, 160,399.07 and 67,012.11

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Solution

The fourth proportional to 106,901.71, 160,399.07 and 67,012.11 is: 100,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,901.71 : 160,399.07 = 67,012.11 : x
  2. Step 2: Convert to fraction form
    106,901.71/160,399.07 = 67,012.11/x
  3. Step 3: Cross multiply
    106,901.71x = 160,399.07 × 67,012.11
  4. Step 4: Simplify right side
    106,901.71x = 10,748,680,038.97
  5. Step 5: Solve for x
    x = 10,748,680,038.97/106,901.71
  6. Step 6: Final answer
    x = 100,547.32

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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.