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Finding the Fourth Proportional to 205,111.10, 307,666.65 and 145,624.70

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Solution

The fourth proportional to 205,111.10, 307,666.65 and 145,624.70 is: 218,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111.10 : 307,666.65 = 145,624.70 : x
  2. Step 2: Convert to fraction form
    205,111.10/307,666.65 = 145,624.70/x
  3. Step 3: Cross multiply
    205,111.10x = 307,666.65 × 145,624.70
  4. Step 4: Simplify right side
    205,111.10x = 44,803,863,606.26
  5. Step 5: Solve for x
    x = 44,803,863,606.26/205,111.10
  6. Step 6: Final answer
    x = 218,437.05

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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.