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Finding the Fourth Proportional to 105,107.60, 157,661.40 and 97,158.80

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Solution

The fourth proportional to 105,107.60, 157,661.40 and 97,158.80 is: 145,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.60 : 157,661.40 = 97,158.80 : x
  2. Step 2: Convert to fraction form
    105,107.60/157,661.40 = 97,158.80/x
  3. Step 3: Cross multiply
    105,107.60x = 157,661.40 × 97,158.80
  4. Step 4: Simplify right side
    105,107.60x = 15,318,192,430.32
  5. Step 5: Solve for x
    x = 15,318,192,430.32/105,107.60
  6. Step 6: Final answer
    x = 145,738.20

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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.