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Finding the Fourth Proportional to 273,423, 410,316.75 and 105,082.32

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Solution

The fourth proportional to 273,423, 410,316.75 and 105,082.32 is: 157,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,423 : 410,316.75 = 105,082.32 : x
  2. Step 2: Convert to fraction form
    273,423/410,316.75 = 105,082.32/x
  3. Step 3: Cross multiply
    273,423x = 410,316.75 × 105,082.32
  4. Step 4: Simplify right side
    273,423x = 43,117,036,024.86
  5. Step 5: Solve for x
    x = 43,117,036,024.86/273,423
  6. Step 6: Final answer
    x = 157,693.52

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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.