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Finding the Fourth Proportional to 211,054.82, 316,507.50 and 77,899.32

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Solution

The fourth proportional to 211,054.82, 316,507.50 and 77,899.32 is: 116,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,054.82 : 316,507.50 = 77,899.32 : x
  2. Step 2: Convert to fraction form
    211,054.82/316,507.50 = 77,899.32/x
  3. Step 3: Cross multiply
    211,054.82x = 316,507.50 × 77,899.32
  4. Step 4: Simplify right side
    211,054.82x = 24,655,719,024.90
  5. Step 5: Solve for x
    x = 24,655,719,024.90/211,054.82
  6. Step 6: Final answer
    x = 116,821.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.