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Finding the Fourth Proportional to 152,092.60, 228,062.76 and 46,897.90

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Solution

The fourth proportional to 152,092.60, 228,062.76 and 46,897.90 is: 70,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,092.60 : 228,062.76 = 46,897.90 : x
  2. Step 2: Convert to fraction form
    152,092.60/228,062.76 = 46,897.90/x
  3. Step 3: Cross multiply
    152,092.60x = 228,062.76 × 46,897.90
  4. Step 4: Simplify right side
    152,092.60x = 10,695,664,512.20
  5. Step 5: Solve for x
    x = 10,695,664,512.20/152,092.60
  6. Step 6: Final answer
    x = 70,323.37

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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.