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Finding the Fourth Proportional to 237,888, 356,970.24 and 106,560

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Solution

The fourth proportional to 237,888, 356,970.24 and 106,560 is: 159,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,888 : 356,970.24 = 106,560 : x
  2. Step 2: Convert to fraction form
    237,888/356,970.24 = 106,560/x
  3. Step 3: Cross multiply
    237,888x = 356,970.24 × 106,560
  4. Step 4: Simplify right side
    237,888x = 38,038,748,774.40
  5. Step 5: Solve for x
    x = 38,038,748,774.40/237,888
  6. Step 6: Final answer
    x = 159,901.92

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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.