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Finding the Fourth Proportional to 259,667.16, 389,518.50 and 153,206.70

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Solution

The fourth proportional to 259,667.16, 389,518.50 and 153,206.70 is: 229,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,667.16 : 389,518.50 = 153,206.70 : x
  2. Step 2: Convert to fraction form
    259,667.16/389,518.50 = 153,206.70/x
  3. Step 3: Cross multiply
    259,667.16x = 389,518.50 × 153,206.70
  4. Step 4: Simplify right side
    259,667.16x = 59,676,843,973.95
  5. Step 5: Solve for x
    x = 59,676,843,973.95/259,667.16
  6. Step 6: Final answer
    x = 229,820.53

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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.