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Finding the Fourth Proportional to 158,206.50, 237,348.63 and 47,398.50

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Solution

The fourth proportional to 158,206.50, 237,348.63 and 47,398.50 is: 71,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,206.50 : 237,348.63 = 47,398.50 : x
  2. Step 2: Convert to fraction form
    158,206.50/237,348.63 = 47,398.50/x
  3. Step 3: Cross multiply
    158,206.50x = 237,348.63 × 47,398.50
  4. Step 4: Simplify right side
    158,206.50x = 11,249,969,039.06
  5. Step 5: Solve for x
    x = 11,249,969,039.06/158,206.50
  6. Step 6: Final answer
    x = 71,109.40

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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.