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Finding the Fourth Proportional to 302,045.48, 416,831.82 and 166,072.40

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Solution

The fourth proportional to 302,045.48, 416,831.82 and 166,072.40 is: 229,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.48 : 416,831.82 = 166,072.40 : x
  2. Step 2: Convert to fraction form
    302,045.48/416,831.82 = 166,072.40/x
  3. Step 3: Cross multiply
    302,045.48x = 416,831.82 × 166,072.40
  4. Step 4: Simplify right side
    302,045.48x = 69,224,260,743.77
  5. Step 5: Solve for x
    x = 69,224,260,743.77/302,045.48
  6. Step 6: Final answer
    x = 229,184.89

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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.