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Finding the Fourth Proportional to 292,205.80, 438,323.10 and 152,237.80

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Solution

The fourth proportional to 292,205.80, 438,323.10 and 152,237.80 is: 228,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,205.80 : 438,323.10 = 152,237.80 : x
  2. Step 2: Convert to fraction form
    292,205.80/438,323.10 = 152,237.80/x
  3. Step 3: Cross multiply
    292,205.80x = 438,323.10 × 152,237.80
  4. Step 4: Simplify right side
    292,205.80x = 66,729,344,433.18
  5. Step 5: Solve for x
    x = 66,729,344,433.18/292,205.80
  6. Step 6: Final answer
    x = 228,364.20

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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.