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Finding the Fourth Proportional to 208,510.74, 312,784.50 and 58,752.30

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Solution

The fourth proportional to 208,510.74, 312,784.50 and 58,752.30 is: 88,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.74 : 312,784.50 = 58,752.30 : x
  2. Step 2: Convert to fraction form
    208,510.74/312,784.50 = 58,752.30/x
  3. Step 3: Cross multiply
    208,510.74x = 312,784.50 × 58,752.30
  4. Step 4: Simplify right side
    208,510.74x = 18,376,808,779.35
  5. Step 5: Solve for x
    x = 18,376,808,779.35/208,510.74
  6. Step 6: Final answer
    x = 88,133.63

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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.