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Finding the Fourth Proportional to 180,545.19, 249,150.57 and 97,758.79

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Solution

The fourth proportional to 180,545.19, 249,150.57 and 97,758.79 is: 134,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,545.19 : 249,150.57 = 97,758.79 : x
  2. Step 2: Convert to fraction form
    180,545.19/249,150.57 = 97,758.79/x
  3. Step 3: Cross multiply
    180,545.19x = 249,150.57 × 97,758.79
  4. Step 4: Simplify right side
    180,545.19x = 24,356,658,086.38
  5. Step 5: Solve for x
    x = 24,356,658,086.38/180,545.19
  6. Step 6: Final answer
    x = 134,906.16

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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.