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Finding the Fourth Proportional to 105,128.40, 157,433.40 and 69,877.20

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Solution

The fourth proportional to 105,128.40, 157,433.40 and 69,877.20 is: 104,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,128.40 : 157,433.40 = 69,877.20 : x
  2. Step 2: Convert to fraction form
    105,128.40/157,433.40 = 69,877.20/x
  3. Step 3: Cross multiply
    105,128.40x = 157,433.40 × 69,877.20
  4. Step 4: Simplify right side
    105,128.40x = 11,001,005,178.48
  5. Step 5: Solve for x
    x = 11,001,005,178.48/105,128.40
  6. Step 6: Final answer
    x = 104,643.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.