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Finding the Fourth Proportional to 157,193.63, 216,957.11 and 89,216.98

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Solution

The fourth proportional to 157,193.63, 216,957.11 and 89,216.98 is: 123,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,193.63 : 216,957.11 = 89,216.98 : x
  2. Step 2: Convert to fraction form
    157,193.63/216,957.11 = 89,216.98/x
  3. Step 3: Cross multiply
    157,193.63x = 216,957.11 × 89,216.98
  4. Step 4: Simplify right side
    157,193.63x = 19,356,257,155.25
  5. Step 5: Solve for x
    x = 19,356,257,155.25/157,193.63
  6. Step 6: Final answer
    x = 123,136.40

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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.