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Finding the Fourth Proportional to 157,838.40, 217,762.97 and 89,838.36

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Solution

The fourth proportional to 157,838.40, 217,762.97 and 89,838.36 is: 123,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838.40 : 217,762.97 = 89,838.36 : x
  2. Step 2: Convert to fraction form
    157,838.40/217,762.97 = 89,838.36/x
  3. Step 3: Cross multiply
    157,838.40x = 217,762.97 × 89,838.36
  4. Step 4: Simplify right side
    157,838.40x = 19,563,467,644.34
  5. Step 5: Solve for x
    x = 19,563,467,644.34/157,838.40
  6. Step 6: Final answer
    x = 123,946.19

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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.