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Finding the Fourth Proportional to 180,458.83, 249,026.83 and 99,886.51

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Solution

The fourth proportional to 180,458.83, 249,026.83 and 99,886.51 is: 137,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,458.83 : 249,026.83 = 99,886.51 : x
  2. Step 2: Convert to fraction form
    180,458.83/249,026.83 = 99,886.51/x
  3. Step 3: Cross multiply
    180,458.83x = 249,026.83 × 99,886.51
  4. Step 4: Simplify right side
    180,458.83x = 24,874,420,945.06
  5. Step 5: Solve for x
    x = 24,874,420,945.06/180,458.83
  6. Step 6: Final answer
    x = 137,839.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.