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Finding the Fourth Proportional to 464,101.40, 696,152.71 and 127,145.01

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Solution

The fourth proportional to 464,101.40, 696,152.71 and 127,145.01 is: 190,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,101.40 : 696,152.71 = 127,145.01 : x
  2. Step 2: Convert to fraction form
    464,101.40/696,152.71 = 127,145.01/x
  3. Step 3: Cross multiply
    464,101.40x = 696,152.71 × 127,145.01
  4. Step 4: Simplify right side
    464,101.40x = 88,512,342,638.75
  5. Step 5: Solve for x
    x = 88,512,342,638.75/464,101.40
  6. Step 6: Final answer
    x = 190,717.68

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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.