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Finding the Fourth Proportional to 104,966.90, 157,066.35 and 77,318.90

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Solution

The fourth proportional to 104,966.90, 157,066.35 and 77,318.90 is: 115,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,966.90 : 157,066.35 = 77,318.90 : x
  2. Step 2: Convert to fraction form
    104,966.90/157,066.35 = 77,318.90/x
  3. Step 3: Cross multiply
    104,966.90x = 157,066.35 × 77,318.90
  4. Step 4: Simplify right side
    104,966.90x = 12,144,197,409.02
  5. Step 5: Solve for x
    x = 12,144,197,409.02/104,966.90
  6. Step 6: Final answer
    x = 115,695.49

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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.