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Finding the Fourth Proportional to 106,918.66, 160,378.66 and 28,032.18

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Solution

The fourth proportional to 106,918.66, 160,378.66 and 28,032.18 is: 42,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918.66 : 160,378.66 = 28,032.18 : x
  2. Step 2: Convert to fraction form
    106,918.66/160,378.66 = 28,032.18/x
  3. Step 3: Cross multiply
    106,918.66x = 160,378.66 × 28,032.18
  4. Step 4: Simplify right side
    106,918.66x = 4,495,763,465.28
  5. Step 5: Solve for x
    x = 4,495,763,465.28/106,918.66
  6. Step 6: Final answer
    x = 42,048.45

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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.