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Finding the Fourth Proportional to 106,931.80, 160,397.70 and 106,317.40

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Solution

The fourth proportional to 106,931.80, 160,397.70 and 106,317.40 is: 159,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931.80 : 160,397.70 = 106,317.40 : x
  2. Step 2: Convert to fraction form
    106,931.80/160,397.70 = 106,317.40/x
  3. Step 3: Cross multiply
    106,931.80x = 160,397.70 × 106,317.40
  4. Step 4: Simplify right side
    106,931.80x = 17,053,066,429.98
  5. Step 5: Solve for x
    x = 17,053,066,429.98/106,931.80
  6. Step 6: Final answer
    x = 159,476.10

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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.