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Finding the Fourth Proportional to 97,933.88, 146,900.87 and 64,646.17

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Solution

The fourth proportional to 97,933.88, 146,900.87 and 64,646.17 is: 96,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,933.88 : 146,900.87 = 64,646.17 : x
  2. Step 2: Convert to fraction form
    97,933.88/146,900.87 = 64,646.17/x
  3. Step 3: Cross multiply
    97,933.88x = 146,900.87 × 64,646.17
  4. Step 4: Simplify right side
    97,933.88x = 9,496,578,409.53
  5. Step 5: Solve for x
    x = 9,496,578,409.53/97,933.88
  6. Step 6: Final answer
    x = 96,969.28

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1.5x scale

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.