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Finding the Fourth Proportional to 106,200.90, 159,300.95 and 39,657.78

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Solution

The fourth proportional to 106,200.90, 159,300.95 and 39,657.78 is: 59,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,200.90 : 159,300.95 = 39,657.78 : x
  2. Step 2: Convert to fraction form
    106,200.90/159,300.95 = 39,657.78/x
  3. Step 3: Cross multiply
    106,200.90x = 159,300.95 × 39,657.78
  4. Step 4: Simplify right side
    106,200.90x = 6,317,521,830.60
  5. Step 5: Solve for x
    x = 6,317,521,830.60/106,200.90
  6. Step 6: Final answer
    x = 59,486.52

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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.