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Finding the Fourth Proportional to 211,340.07, 316,862.42 and 78,203.00

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Solution

The fourth proportional to 211,340.07, 316,862.42 and 78,203.00 is: 117,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,340.07 : 316,862.42 = 78,203.00 : x
  2. Step 2: Convert to fraction form
    211,340.07/316,862.42 = 78,203.00/x
  3. Step 3: Cross multiply
    211,340.07x = 316,862.42 × 78,203.00
  4. Step 4: Simplify right side
    211,340.07x = 24,779,592,232.40
  5. Step 5: Solve for x
    x = 24,779,592,232.40/211,340.07
  6. Step 6: Final answer
    x = 117,249.85

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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.