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Finding the Fourth Proportional to 503,017.76, 754,601.66 and 166,094

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Solution

The fourth proportional to 503,017.76, 754,601.66 and 166,094 is: 249,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,017.76 : 754,601.66 = 166,094 : x
  2. Step 2: Convert to fraction form
    503,017.76/754,601.66 = 166,094/x
  3. Step 3: Cross multiply
    503,017.76x = 754,601.66 × 166,094
  4. Step 4: Simplify right side
    503,017.76x = 125,334,808,116.04
  5. Step 5: Solve for x
    x = 125,334,808,116.04/503,017.76
  6. Step 6: Final answer
    x = 249,165.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.