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Finding the Fourth Proportional to 97,950.68, 146,926.05 and 64,662.95

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Solution

The fourth proportional to 97,950.68, 146,926.05 and 64,662.95 is: 96,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,950.68 : 146,926.05 = 64,662.95 : x
  2. Step 2: Convert to fraction form
    97,950.68/146,926.05 = 64,662.95/x
  3. Step 3: Cross multiply
    97,950.68x = 146,926.05 × 64,662.95
  4. Step 4: Simplify right side
    97,950.68x = 9,500,671,949.68
  5. Step 5: Solve for x
    x = 9,500,671,949.68/97,950.68
  6. Step 6: Final answer
    x = 96,994.45

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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.