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Finding the Fourth Proportional to 180,567.72, 270,307.26 and 97,209

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Solution

The fourth proportional to 180,567.72, 270,307.26 and 97,209 is: 145,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,567.72 : 270,307.26 = 97,209 : x
  2. Step 2: Convert to fraction form
    180,567.72/270,307.26 = 97,209/x
  3. Step 3: Cross multiply
    180,567.72x = 270,307.26 × 97,209
  4. Step 4: Simplify right side
    180,567.72x = 26,276,298,437.34
  5. Step 5: Solve for x
    x = 26,276,298,437.34/180,567.72
  6. Step 6: Final answer
    x = 145,520.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.