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Finding the Fourth Proportional to 302,342.19, 417,223.41 and 166,376.10

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Solution

The fourth proportional to 302,342.19, 417,223.41 and 166,376.10 is: 229,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,342.19 : 417,223.41 = 166,376.10 : x
  2. Step 2: Convert to fraction form
    302,342.19/417,223.41 = 166,376.10/x
  3. Step 3: Cross multiply
    302,342.19x = 417,223.41 × 166,376.10
  4. Step 4: Simplify right side
    302,342.19x = 69,416,003,784.50
  5. Step 5: Solve for x
    x = 69,416,003,784.50/302,342.19
  6. Step 6: Final answer
    x = 229,594.17

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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.