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Finding the Fourth Proportional to 208,045.83, 287,101.62 and 112,552.23

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Solution

The fourth proportional to 208,045.83, 287,101.62 and 112,552.23 is: 155,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.83 : 287,101.62 = 112,552.23 : x
  2. Step 2: Convert to fraction form
    208,045.83/287,101.62 = 112,552.23/x
  3. Step 3: Cross multiply
    208,045.83x = 287,101.62 × 112,552.23
  4. Step 4: Simplify right side
    208,045.83x = 32,313,927,567.61
  5. Step 5: Solve for x
    x = 32,313,927,567.61/208,045.83
  6. Step 6: Final answer
    x = 155,321.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.