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Finding the Fourth Proportional to 115,574.60, 172,977.90 and 83,894.60

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Solution

The fourth proportional to 115,574.60, 172,977.90 and 83,894.60 is: 125,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,574.60 : 172,977.90 = 83,894.60 : x
  2. Step 2: Convert to fraction form
    115,574.60/172,977.90 = 83,894.60/x
  3. Step 3: Cross multiply
    115,574.60x = 172,977.90 × 83,894.60
  4. Step 4: Simplify right side
    115,574.60x = 14,511,911,729.34
  5. Step 5: Solve for x
    x = 14,511,911,729.34/115,574.60
  6. Step 6: Final answer
    x = 125,563.16

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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.