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Finding the Fourth Proportional to 257,263.84, 355,147.50 and 180,848.44

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Solution

The fourth proportional to 257,263.84, 355,147.50 and 180,848.44 is: 249,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,263.84 : 355,147.50 = 180,848.44 : x
  2. Step 2: Convert to fraction form
    257,263.84/355,147.50 = 180,848.44/x
  3. Step 3: Cross multiply
    257,263.84x = 355,147.50 × 180,848.44
  4. Step 4: Simplify right side
    257,263.84x = 64,227,871,344.90
  5. Step 5: Solve for x
    x = 64,227,871,344.90/257,263.84
  6. Step 6: Final answer
    x = 249,657.59

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Why These Related Problems?

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