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Finding the Fourth Proportional to 176,461.50, 243,516.87 and 96,973.50

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Solution

The fourth proportional to 176,461.50, 243,516.87 and 96,973.50 is: 133,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,461.50 : 243,516.87 = 96,973.50 : x
  2. Step 2: Convert to fraction form
    176,461.50/243,516.87 = 96,973.50/x
  3. Step 3: Cross multiply
    176,461.50x = 243,516.87 × 96,973.50
  4. Step 4: Simplify right side
    176,461.50x = 23,614,683,192.95
  5. Step 5: Solve for x
    x = 23,614,683,192.95/176,461.50
  6. Step 6: Final answer
    x = 133,823.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.