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Finding the Fourth Proportional to 208,328.90, 287,492.54 and 117,714.20

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Solution

The fourth proportional to 208,328.90, 287,492.54 and 117,714.20 is: 162,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,328.90 : 287,492.54 = 117,714.20 : x
  2. Step 2: Convert to fraction form
    208,328.90/287,492.54 = 117,714.20/x
  3. Step 3: Cross multiply
    208,328.90x = 287,492.54 × 117,714.20
  4. Step 4: Simplify right side
    208,328.90x = 33,841,955,365.08
  5. Step 5: Solve for x
    x = 33,841,955,365.08/208,328.90
  6. Step 6: Final answer
    x = 162,444.84

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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.