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Finding the Fourth Proportional to 230,952.09, 346,359.29 and 97,830.21

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Solution

The fourth proportional to 230,952.09, 346,359.29 and 97,830.21 is: 146,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,952.09 : 346,359.29 = 97,830.21 : x
  2. Step 2: Convert to fraction form
    230,952.09/346,359.29 = 97,830.21/x
  3. Step 3: Cross multiply
    230,952.09x = 346,359.29 × 97,830.21
  4. Step 4: Simplify right side
    230,952.09x = 33,884,401,587.00
  5. Step 5: Solve for x
    x = 33,884,401,587.00/230,952.09
  6. Step 6: Final answer
    x = 146,716.15

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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.