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Finding the Fourth Proportional to 157,683.84, 217,607.04 and 89,698.56

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Solution

The fourth proportional to 157,683.84, 217,607.04 and 89,698.56 is: 123,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,683.84 : 217,607.04 = 89,698.56 : x
  2. Step 2: Convert to fraction form
    157,683.84/217,607.04 = 89,698.56/x
  3. Step 3: Cross multiply
    157,683.84x = 217,607.04 × 89,698.56
  4. Step 4: Simplify right side
    157,683.84x = 19,519,038,133.86
  5. Step 5: Solve for x
    x = 19,519,038,133.86/157,683.84
  6. Step 6: Final answer
    x = 123,785.91

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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.