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Finding the Fourth Proportional to 192,106.40, 288,159.60 and 103,532.90

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Solution

The fourth proportional to 192,106.40, 288,159.60 and 103,532.90 is: 155,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,106.40 : 288,159.60 = 103,532.90 : x
  2. Step 2: Convert to fraction form
    192,106.40/288,159.60 = 103,532.90/x
  3. Step 3: Cross multiply
    192,106.40x = 288,159.60 × 103,532.90
  4. Step 4: Simplify right side
    192,106.40x = 29,833,999,050.84
  5. Step 5: Solve for x
    x = 29,833,999,050.84/192,106.40
  6. Step 6: Final answer
    x = 155,299.35

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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.