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Finding the Fourth Proportional to 170,692.86, 235,598.31 and 103,681.02

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Solution

The fourth proportional to 170,692.86, 235,598.31 and 103,681.02 is: 143,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,692.86 : 235,598.31 = 103,681.02 : x
  2. Step 2: Convert to fraction form
    170,692.86/235,598.31 = 103,681.02/x
  3. Step 3: Cross multiply
    170,692.86x = 235,598.31 × 103,681.02
  4. Step 4: Simplify right side
    170,692.86x = 24,427,073,091.08
  5. Step 5: Solve for x
    x = 24,427,073,091.08/170,692.86
  6. Step 6: Final answer
    x = 143,105.42

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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.