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Finding the Fourth Proportional to 208,140.32, 287,233.63 and 112,647.01

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Solution

The fourth proportional to 208,140.32, 287,233.63 and 112,647.01 is: 155,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140.32 : 287,233.63 = 112,647.01 : x
  2. Step 2: Convert to fraction form
    208,140.32/287,233.63 = 112,647.01/x
  3. Step 3: Cross multiply
    208,140.32x = 287,233.63 × 112,647.01
  4. Step 4: Simplify right side
    208,140.32x = 32,356,009,590.95
  5. Step 5: Solve for x
    x = 32,356,009,590.95/208,140.32
  6. Step 6: Final answer
    x = 155,452.87

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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.