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Finding the Fourth Proportional to 156,776, 235,203.06 and 45,968

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Solution

The fourth proportional to 156,776, 235,203.06 and 45,968 is: 68,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 235,203.06 = 45,968 : x
  2. Step 2: Convert to fraction form
    156,776/235,203.06 = 45,968/x
  3. Step 3: Cross multiply
    156,776x = 235,203.06 × 45,968
  4. Step 4: Simplify right side
    156,776x = 10,811,814,262.08
  5. Step 5: Solve for x
    x = 10,811,814,262.08/156,776
  6. Step 6: Final answer
    x = 68,963.45

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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.