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Finding the Fourth Proportional to 231,023, 346,554.12 and 64,811

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Solution

The fourth proportional to 231,023, 346,554.12 and 64,811 is: 97,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,023 : 346,554.12 = 64,811 : x
  2. Step 2: Convert to fraction form
    231,023/346,554.12 = 64,811/x
  3. Step 3: Cross multiply
    231,023x = 346,554.12 × 64,811
  4. Step 4: Simplify right side
    231,023x = 22,460,519,071.32
  5. Step 5: Solve for x
    x = 22,460,519,071.32/231,023
  6. Step 6: Final answer
    x = 97,222.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.