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Finding the Fourth Proportional to 208,125.30, 287,225.84 and 117,448.17

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Solution

The fourth proportional to 208,125.30, 287,225.84 and 117,448.17 is: 162,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,125.30 : 287,225.84 = 117,448.17 : x
  2. Step 2: Convert to fraction form
    208,125.30/287,225.84 = 117,448.17/x
  3. Step 3: Cross multiply
    208,125.30x = 287,225.84 × 117,448.17
  4. Step 4: Simplify right side
    208,125.30x = 33,734,148,697.47
  5. Step 5: Solve for x
    x = 33,734,148,697.47/208,125.30
  6. Step 6: Final answer
    x = 162,085.77

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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.