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Finding the Fourth Proportional to 249,733, 374,599.86 and 101,989

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Solution

The fourth proportional to 249,733, 374,599.86 and 101,989 is: 152,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,733 : 374,599.86 = 101,989 : x
  2. Step 2: Convert to fraction form
    249,733/374,599.86 = 101,989/x
  3. Step 3: Cross multiply
    249,733x = 374,599.86 × 101,989
  4. Step 4: Simplify right side
    249,733x = 38,205,065,121.54
  5. Step 5: Solve for x
    x = 38,205,065,121.54/249,733
  6. Step 6: Final answer
    x = 152,983.65

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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.