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Finding the Fourth Proportional to 153,283.41, 229,959.71 and 46,676.90

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Solution

The fourth proportional to 153,283.41, 229,959.71 and 46,676.90 is: 70,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,283.41 : 229,959.71 = 46,676.90 : x
  2. Step 2: Convert to fraction form
    153,283.41/229,959.71 = 46,676.90/x
  3. Step 3: Cross multiply
    153,283.41x = 229,959.71 × 46,676.90
  4. Step 4: Simplify right side
    153,283.41x = 10,733,806,904.25
  5. Step 5: Solve for x
    x = 10,733,806,904.25/153,283.41
  6. Step 6: Final answer
    x = 70,025.89

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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.