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Finding the Fourth Proportional to 153,411.15, 230,129.86 and 46,819.09

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Solution

The fourth proportional to 153,411.15, 230,129.86 and 46,819.09 is: 70,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411.15 : 230,129.86 = 46,819.09 : x
  2. Step 2: Convert to fraction form
    153,411.15/230,129.86 = 46,819.09/x
  3. Step 3: Cross multiply
    153,411.15x = 230,129.86 × 46,819.09
  4. Step 4: Simplify right side
    153,411.15x = 10,774,470,627.03
  5. Step 5: Solve for x
    x = 10,774,470,627.03/153,411.15
  6. Step 6: Final answer
    x = 70,232.64

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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.