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Finding the Fourth Proportional to 186,002.36, 256,703.34 and 105,421.24

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Solution

The fourth proportional to 186,002.36, 256,703.34 and 105,421.24 is: 145,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,002.36 : 256,703.34 = 105,421.24 : x
  2. Step 2: Convert to fraction form
    186,002.36/256,703.34 = 105,421.24/x
  3. Step 3: Cross multiply
    186,002.36x = 256,703.34 × 105,421.24
  4. Step 4: Simplify right side
    186,002.36x = 27,061,984,414.94
  5. Step 5: Solve for x
    x = 27,061,984,414.94/186,002.36
  6. Step 6: Final answer
    x = 145,492.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.