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Finding the Fourth Proportional to 104,713.40, 157,070.10 and 83,977.40

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Solution

The fourth proportional to 104,713.40, 157,070.10 and 83,977.40 is: 125,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,713.40 : 157,070.10 = 83,977.40 : x
  2. Step 2: Convert to fraction form
    104,713.40/157,070.10 = 83,977.40/x
  3. Step 3: Cross multiply
    104,713.40x = 157,070.10 × 83,977.40
  4. Step 4: Simplify right side
    104,713.40x = 13,190,338,615.74
  5. Step 5: Solve for x
    x = 13,190,338,615.74/104,713.40
  6. Step 6: Final answer
    x = 125,966.10

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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.