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Finding the Fourth Proportional to 157,951, 236,967.56 and 47,143

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Solution

The fourth proportional to 157,951, 236,967.56 and 47,143 is: 70,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,951 : 236,967.56 = 47,143 : x
  2. Step 2: Convert to fraction form
    157,951/236,967.56 = 47,143/x
  3. Step 3: Cross multiply
    157,951x = 236,967.56 × 47,143
  4. Step 4: Simplify right side
    157,951x = 11,171,361,681.08
  5. Step 5: Solve for x
    x = 11,171,361,681.08/157,951
  6. Step 6: Final answer
    x = 70,726.76

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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.