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Finding the Fourth Proportional to 180,515.52, 249,133.05 and 105,064.02

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Solution

The fourth proportional to 180,515.52, 249,133.05 and 105,064.02 is: 145,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,515.52 : 249,133.05 = 105,064.02 : x
  2. Step 2: Convert to fraction form
    180,515.52/249,133.05 = 105,064.02/x
  3. Step 3: Cross multiply
    180,515.52x = 249,133.05 × 105,064.02
  4. Step 4: Simplify right side
    180,515.52x = 26,174,919,747.86
  5. Step 5: Solve for x
    x = 26,174,919,747.86/180,515.52
  6. Step 6: Final answer
    x = 145,000.94

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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.