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Finding the Fourth Proportional to 254,457.84, 381,792.42 and 128,030.58

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Solution

The fourth proportional to 254,457.84, 381,792.42 and 128,030.58 is: 192,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,457.84 : 381,792.42 = 128,030.58 : x
  2. Step 2: Convert to fraction form
    254,457.84/381,792.42 = 128,030.58/x
  3. Step 3: Cross multiply
    254,457.84x = 381,792.42 × 128,030.58
  4. Step 4: Simplify right side
    254,457.84x = 48,881,104,972.20
  5. Step 5: Solve for x
    x = 48,881,104,972.20/254,457.84
  6. Step 6: Final answer
    x = 192,099.03

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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.