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Finding the Fourth Proportional to 118,411.60, 177,617.40 and 105,509.20

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Solution

The fourth proportional to 118,411.60, 177,617.40 and 105,509.20 is: 158,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,411.60 : 177,617.40 = 105,509.20 : x
  2. Step 2: Convert to fraction form
    118,411.60/177,617.40 = 105,509.20/x
  3. Step 3: Cross multiply
    118,411.60x = 177,617.40 × 105,509.20
  4. Step 4: Simplify right side
    118,411.60x = 18,740,269,780.08
  5. Step 5: Solve for x
    x = 18,740,269,780.08/118,411.60
  6. Step 6: Final answer
    x = 158,263.80

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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.