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Finding the Fourth Proportional to 197,655.76, 296,111.62 and 97,698.93

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Solution

The fourth proportional to 197,655.76, 296,111.62 and 97,698.93 is: 146,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,655.76 : 296,111.62 = 97,698.93 : x
  2. Step 2: Convert to fraction form
    197,655.76/296,111.62 = 97,698.93/x
  3. Step 3: Cross multiply
    197,655.76x = 296,111.62 × 97,698.93
  4. Step 4: Simplify right side
    197,655.76x = 28,929,788,434.57
  5. Step 5: Solve for x
    x = 28,929,788,434.57/197,655.76
  6. Step 6: Final answer
    x = 146,364.51

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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.