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Finding the Fourth Proportional to 107,110.72, 147,807.10 and 61,786

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Solution

The fourth proportional to 107,110.72, 147,807.10 and 61,786 is: 85,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,110.72 : 147,807.10 = 61,786 : x
  2. Step 2: Convert to fraction form
    107,110.72/147,807.10 = 61,786/x
  3. Step 3: Cross multiply
    107,110.72x = 147,807.10 × 61,786
  4. Step 4: Simplify right side
    107,110.72x = 9,132,409,480.60
  5. Step 5: Solve for x
    x = 9,132,409,480.60/107,110.72
  6. Step 6: Final answer
    x = 85,261.40

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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.