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Finding the Fourth Proportional to 211,980.24, 292,411.08 and 132,354

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Solution

The fourth proportional to 211,980.24, 292,411.08 and 132,354 is: 182,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,980.24 : 292,411.08 = 132,354 : x
  2. Step 2: Convert to fraction form
    211,980.24/292,411.08 = 132,354/x
  3. Step 3: Cross multiply
    211,980.24x = 292,411.08 × 132,354
  4. Step 4: Simplify right side
    211,980.24x = 38,701,776,082.32
  5. Step 5: Solve for x
    x = 38,701,776,082.32/211,980.24
  6. Step 6: Final answer
    x = 182,572.56

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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.