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Finding the Fourth Proportional to 464,088.42, 696,133.24 and 127,132.03

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Solution

The fourth proportional to 464,088.42, 696,133.24 and 127,132.03 is: 190,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,088.42 : 696,133.24 = 127,132.03 : x
  2. Step 2: Convert to fraction form
    464,088.42/696,133.24 = 127,132.03/x
  3. Step 3: Cross multiply
    464,088.42x = 696,133.24 × 127,132.03
  4. Step 4: Simplify right side
    464,088.42x = 88,500,832,504.01
  5. Step 5: Solve for x
    x = 88,500,832,504.01/464,088.42
  6. Step 6: Final answer
    x = 190,698.21

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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.