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Finding the Fourth Proportional to 212,089.82, 292,689.54 and 116,598.92

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Solution

The fourth proportional to 212,089.82, 292,689.54 and 116,598.92 is: 160,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.82 : 292,689.54 = 116,598.92 : x
  2. Step 2: Convert to fraction form
    212,089.82/292,689.54 = 116,598.92/x
  3. Step 3: Cross multiply
    212,089.82x = 292,689.54 × 116,598.92
  4. Step 4: Simplify right side
    212,089.82x = 34,127,284,259.30
  5. Step 5: Solve for x
    x = 34,127,284,259.30/212,089.82
  6. Step 6: Final answer
    x = 160,909.58

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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.