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Finding the Fourth Proportional to 197,461.86, 296,209.64 and 69,366.95

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Solution

The fourth proportional to 197,461.86, 296,209.64 and 69,366.95 is: 104,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,461.86 : 296,209.64 = 69,366.95 : x
  2. Step 2: Convert to fraction form
    197,461.86/296,209.64 = 69,366.95/x
  3. Step 3: Cross multiply
    197,461.86x = 296,209.64 × 69,366.95
  4. Step 4: Simplify right side
    197,461.86x = 20,547,159,214.46
  5. Step 5: Solve for x
    x = 20,547,159,214.46/197,461.86
  6. Step 6: Final answer
    x = 104,056.34

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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.