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Finding the Fourth Proportional to 464,102.34, 696,154.11 and 127,145.95

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Solution

The fourth proportional to 464,102.34, 696,154.11 and 127,145.95 is: 190,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,102.34 : 696,154.11 = 127,145.95 : x
  2. Step 2: Convert to fraction form
    464,102.34/696,154.11 = 127,145.95/x
  3. Step 3: Cross multiply
    464,102.34x = 696,154.11 × 127,145.95
  4. Step 4: Simplify right side
    464,102.34x = 88,513,172,181.58
  5. Step 5: Solve for x
    x = 88,513,172,181.58/464,102.34
  6. Step 6: Final answer
    x = 190,719.08

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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.