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Finding the Fourth Proportional to 212,831.74, 293,709.84 and 117,341.86

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Solution

The fourth proportional to 212,831.74, 293,709.84 and 117,341.86 is: 161,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,831.74 : 293,709.84 = 117,341.86 : x
  2. Step 2: Convert to fraction form
    212,831.74/293,709.84 = 117,341.86/x
  3. Step 3: Cross multiply
    212,831.74x = 293,709.84 × 117,341.86
  4. Step 4: Simplify right side
    212,831.74x = 34,464,458,925.90
  5. Step 5: Solve for x
    x = 34,464,458,925.90/212,831.74
  6. Step 6: Final answer
    x = 161,932.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.