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Finding the Fourth Proportional to 107,076.51, 147,783.89 and 61,746.39

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Solution

The fourth proportional to 107,076.51, 147,783.89 and 61,746.39 is: 85,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076.51 : 147,783.89 = 61,746.39 : x
  2. Step 2: Convert to fraction form
    107,076.51/147,783.89 = 61,746.39/x
  3. Step 3: Cross multiply
    107,076.51x = 147,783.89 × 61,746.39
  4. Step 4: Simplify right side
    107,076.51x = 9,125,121,398.93
  5. Step 5: Solve for x
    x = 9,125,121,398.93/107,076.51
  6. Step 6: Final answer
    x = 85,220.57

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Why These Related Problems?

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