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Finding the Fourth Proportional to 257,614.48, 355,440.72 and 148,692.16

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Solution

The fourth proportional to 257,614.48, 355,440.72 and 148,692.16 is: 205,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,614.48 : 355,440.72 = 148,692.16 : x
  2. Step 2: Convert to fraction form
    257,614.48/355,440.72 = 148,692.16/x
  3. Step 3: Cross multiply
    257,614.48x = 355,440.72 × 148,692.16
  4. Step 4: Simplify right side
    257,614.48x = 52,851,248,408.76
  5. Step 5: Solve for x
    x = 52,851,248,408.76/257,614.48
  6. Step 6: Final answer
    x = 205,156.36

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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.