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Finding the Fourth Proportional to 160,269.16, 220,970.40 and 102,807.16

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Solution

The fourth proportional to 160,269.16, 220,970.40 and 102,807.16 is: 141,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,269.16 : 220,970.40 = 102,807.16 : x
  2. Step 2: Convert to fraction form
    160,269.16/220,970.40 = 102,807.16/x
  3. Step 3: Cross multiply
    160,269.16x = 220,970.40 × 102,807.16
  4. Step 4: Simplify right side
    160,269.16x = 22,717,339,268.06
  5. Step 5: Solve for x
    x = 22,717,339,268.06/160,269.16
  6. Step 6: Final answer
    x = 141,744.92

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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.