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Finding the Fourth Proportional to 153,283.25, 229,959.48 and 46,676.74

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Solution

The fourth proportional to 153,283.25, 229,959.48 and 46,676.74 is: 70,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,283.25 : 229,959.48 = 46,676.74 : x
  2. Step 2: Convert to fraction form
    153,283.25/229,959.48 = 46,676.74/x
  3. Step 3: Cross multiply
    153,283.25x = 229,959.48 × 46,676.74
  4. Step 4: Simplify right side
    153,283.25x = 10,733,758,858.50
  5. Step 5: Solve for x
    x = 10,733,758,858.50/153,283.25
  6. Step 6: Final answer
    x = 70,025.65

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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.