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Finding the Fourth Proportional to 107,112.72, 147,809.86 and 61,788

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Solution

The fourth proportional to 107,112.72, 147,809.86 and 61,788 is: 85,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112.72 : 147,809.86 = 61,788 : x
  2. Step 2: Convert to fraction form
    107,112.72/147,809.86 = 61,788/x
  3. Step 3: Cross multiply
    107,112.72x = 147,809.86 × 61,788
  4. Step 4: Simplify right side
    107,112.72x = 9,132,875,629.68
  5. Step 5: Solve for x
    x = 9,132,875,629.68/107,112.72
  6. Step 6: Final answer
    x = 85,264.16

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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.