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Finding the Fourth Proportional to 130,978.08, 196,356.06 and 46,712.88

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Solution

The fourth proportional to 130,978.08, 196,356.06 and 46,712.88 is: 70,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.08 : 196,356.06 = 46,712.88 : x
  2. Step 2: Convert to fraction form
    130,978.08/196,356.06 = 46,712.88/x
  3. Step 3: Cross multiply
    130,978.08x = 196,356.06 × 46,712.88
  4. Step 4: Simplify right side
    130,978.08x = 9,172,357,068.05
  5. Step 5: Solve for x
    x = 9,172,357,068.05/130,978.08
  6. Step 6: Final answer
    x = 70,029.71

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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.