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Finding the Fourth Proportional to 122,598.60, 183,831.16 and 38,322.40

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Solution

The fourth proportional to 122,598.60, 183,831.16 and 38,322.40 is: 57,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598.60 : 183,831.16 = 38,322.40 : x
  2. Step 2: Convert to fraction form
    122,598.60/183,831.16 = 38,322.40/x
  3. Step 3: Cross multiply
    122,598.60x = 183,831.16 × 38,322.40
  4. Step 4: Simplify right side
    122,598.60x = 7,044,851,245.98
  5. Step 5: Solve for x
    x = 7,044,851,245.98/122,598.60
  6. Step 6: Final answer
    x = 57,462.74

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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.