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Finding the Fourth Proportional to 305,061.30, 420,973.02 and 169,097.40

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Solution

The fourth proportional to 305,061.30, 420,973.02 and 169,097.40 is: 233,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,061.30 : 420,973.02 = 169,097.40 : x
  2. Step 2: Convert to fraction form
    305,061.30/420,973.02 = 169,097.40/x
  3. Step 3: Cross multiply
    305,061.30x = 420,973.02 × 169,097.40
  4. Step 4: Simplify right side
    305,061.30x = 71,185,443,152.15
  5. Step 5: Solve for x
    x = 71,185,443,152.15/305,061.30
  6. Step 6: Final answer
    x = 233,348.00

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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.