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Finding the Fourth Proportional to 113,803.80, 170,810.54 and 57,683.71

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Solution

The fourth proportional to 113,803.80, 170,810.54 and 57,683.71 is: 86,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,803.80 : 170,810.54 = 57,683.71 : x
  2. Step 2: Convert to fraction form
    113,803.80/170,810.54 = 57,683.71/x
  3. Step 3: Cross multiply
    113,803.80x = 170,810.54 × 57,683.71
  4. Step 4: Simplify right side
    113,803.80x = 9,852,985,579.40
  5. Step 5: Solve for x
    x = 9,852,985,579.40/113,803.80
  6. Step 6: Final answer
    x = 86,578.70

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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.