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Finding the Fourth Proportional to 292,267, 438,630.18 and 150,106.60

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Solution

The fourth proportional to 292,267, 438,630.18 and 150,106.60 is: 225,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,267 : 438,630.18 = 150,106.60 : x
  2. Step 2: Convert to fraction form
    292,267/438,630.18 = 150,106.60/x
  3. Step 3: Cross multiply
    292,267x = 438,630.18 × 150,106.60
  4. Step 4: Simplify right side
    292,267x = 65,841,284,977.19
  5. Step 5: Solve for x
    x = 65,841,284,977.19/292,267
  6. Step 6: Final answer
    x = 225,277.86

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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.