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Finding the Fourth Proportional to 237,476.16, 356,214.24 and 106,056

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Solution

The fourth proportional to 237,476.16, 356,214.24 and 106,056 is: 159,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,476.16 : 356,214.24 = 106,056 : x
  2. Step 2: Convert to fraction form
    237,476.16/356,214.24 = 106,056/x
  3. Step 3: Cross multiply
    237,476.16x = 356,214.24 × 106,056
  4. Step 4: Simplify right side
    237,476.16x = 37,778,657,437.44
  5. Step 5: Solve for x
    x = 37,778,657,437.44/237,476.16
  6. Step 6: Final answer
    x = 159,084

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Why These Related Problems?

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