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Finding the Fourth Proportional to 152,172, 228,258.54 and 41,364

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Solution

The fourth proportional to 152,172, 228,258.54 and 41,364 is: 62,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,172 : 228,258.54 = 41,364 : x
  2. Step 2: Convert to fraction form
    152,172/228,258.54 = 41,364/x
  3. Step 3: Cross multiply
    152,172x = 228,258.54 × 41,364
  4. Step 4: Simplify right side
    152,172x = 9,441,686,248.56
  5. Step 5: Solve for x
    x = 9,441,686,248.56/152,172
  6. Step 6: Final answer
    x = 62,046.15

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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.