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Finding the Fourth Proportional to 109,031.70, 163,547.55 and 71,706.90

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Solution

The fourth proportional to 109,031.70, 163,547.55 and 71,706.90 is: 107,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,031.70 : 163,547.55 = 71,706.90 : x
  2. Step 2: Convert to fraction form
    109,031.70/163,547.55 = 71,706.90/x
  3. Step 3: Cross multiply
    109,031.70x = 163,547.55 × 71,706.90
  4. Step 4: Simplify right side
    109,031.70x = 11,727,487,813.10
  5. Step 5: Solve for x
    x = 11,727,487,813.10/109,031.70
  6. Step 6: Final answer
    x = 107,560.35

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1.5x scale

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.