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Finding the Fourth Proportional to 107,242.25, 148,007.43 and 61,920.16

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Solution

The fourth proportional to 107,242.25, 148,007.43 and 61,920.16 is: 85,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.25 : 148,007.43 = 61,920.16 : x
  2. Step 2: Convert to fraction form
    107,242.25/148,007.43 = 61,920.16/x
  3. Step 3: Cross multiply
    107,242.25x = 148,007.43 × 61,920.16
  4. Step 4: Simplify right side
    107,242.25x = 9,164,643,376.77
  5. Step 5: Solve for x
    x = 9,164,643,376.77/107,242.25
  6. Step 6: Final answer
    x = 85,457.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.