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Finding the Fourth Proportional to 292,023.76, 438,035.70 and 102,632.80

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Solution

The fourth proportional to 292,023.76, 438,035.70 and 102,632.80 is: 153,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023.76 : 438,035.70 = 102,632.80 : x
  2. Step 2: Convert to fraction form
    292,023.76/438,035.70 = 102,632.80/x
  3. Step 3: Cross multiply
    292,023.76x = 438,035.70 × 102,632.80
  4. Step 4: Simplify right side
    292,023.76x = 44,956,830,390.96
  5. Step 5: Solve for x
    x = 44,956,830,390.96/292,023.76
  6. Step 6: Final answer
    x = 153,949.22

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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.