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Finding the Fourth Proportional to 116,705.40, 175,058.10 and 57,656.40

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Solution

The fourth proportional to 116,705.40, 175,058.10 and 57,656.40 is: 86,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,705.40 : 175,058.10 = 57,656.40 : x
  2. Step 2: Convert to fraction form
    116,705.40/175,058.10 = 57,656.40/x
  3. Step 3: Cross multiply
    116,705.40x = 175,058.10 × 57,656.40
  4. Step 4: Simplify right side
    116,705.40x = 10,093,219,836.84
  5. Step 5: Solve for x
    x = 10,093,219,836.84/116,705.40
  6. Step 6: Final answer
    x = 86,484.60

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Why These Related Problems?

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