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Finding the Fourth Proportional to 257,259.70, 355,017.63 and 148,363.57

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Solution

The fourth proportional to 257,259.70, 355,017.63 and 148,363.57 is: 204,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,259.70 : 355,017.63 = 148,363.57 : x
  2. Step 2: Convert to fraction form
    257,259.70/355,017.63 = 148,363.57/x
  3. Step 3: Cross multiply
    257,259.70x = 355,017.63 × 148,363.57
  4. Step 4: Simplify right side
    257,259.70x = 52,671,682,999.74
  5. Step 5: Solve for x
    x = 52,671,682,999.74/257,259.70
  6. Step 6: Final answer
    x = 204,741.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.