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Finding the Fourth Proportional to 249,628, 374,442.06 and 83,416

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Solution

The fourth proportional to 249,628, 374,442.06 and 83,416 is: 125,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,628 : 374,442.06 = 83,416 : x
  2. Step 2: Convert to fraction form
    249,628/374,442.06 = 83,416/x
  3. Step 3: Cross multiply
    249,628x = 374,442.06 × 83,416
  4. Step 4: Simplify right side
    249,628x = 31,234,458,876.96
  5. Step 5: Solve for x
    x = 31,234,458,876.96/249,628
  6. Step 6: Final answer
    x = 125,124.02

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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.