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Finding the Fourth Proportional to 153,435.80, 230,148.25 and 46,815.45

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Solution

The fourth proportional to 153,435.80, 230,148.25 and 46,815.45 is: 70,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,435.80 : 230,148.25 = 46,815.45 : x
  2. Step 2: Convert to fraction form
    153,435.80/230,148.25 = 46,815.45/x
  3. Step 3: Cross multiply
    153,435.80x = 230,148.25 × 46,815.45
  4. Step 4: Simplify right side
    153,435.80x = 10,774,493,656.39
  5. Step 5: Solve for x
    x = 10,774,493,656.39/153,435.80
  6. Step 6: Final answer
    x = 70,221.51

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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.