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Finding the Fourth Proportional to 211,417.52, 291,753.84 and 115,924

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Solution

The fourth proportional to 211,417.52, 291,753.84 and 115,924 is: 159,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,417.52 : 291,753.84 = 115,924 : x
  2. Step 2: Convert to fraction form
    211,417.52/291,753.84 = 115,924/x
  3. Step 3: Cross multiply
    211,417.52x = 291,753.84 × 115,924
  4. Step 4: Simplify right side
    211,417.52x = 33,821,272,148.16
  5. Step 5: Solve for x
    x = 33,821,272,148.16/211,417.52
  6. Step 6: Final answer
    x = 159,973.84

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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.