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Finding the Fourth Proportional to 145,806.30, 218,676.65 and 52,312.05

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Solution

The fourth proportional to 145,806.30, 218,676.65 and 52,312.05 is: 78,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806.30 : 218,676.65 = 52,312.05 : x
  2. Step 2: Convert to fraction form
    145,806.30/218,676.65 = 52,312.05/x
  3. Step 3: Cross multiply
    145,806.30x = 218,676.65 × 52,312.05
  4. Step 4: Simplify right side
    145,806.30x = 11,439,423,587.07
  5. Step 5: Solve for x
    x = 11,439,423,587.07/145,806.30
  6. Step 6: Final answer
    x = 78,456.31

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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.