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Finding the Fourth Proportional to 190,298.16, 262,598.22 and 105,408

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Solution

The fourth proportional to 190,298.16, 262,598.22 and 105,408 is: 145,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,298.16 : 262,598.22 = 105,408 : x
  2. Step 2: Convert to fraction form
    190,298.16/262,598.22 = 105,408/x
  3. Step 3: Cross multiply
    190,298.16x = 262,598.22 × 105,408
  4. Step 4: Simplify right side
    190,298.16x = 27,679,953,173.76
  5. Step 5: Solve for x
    x = 27,679,953,173.76/190,298.16
  6. Step 6: Final answer
    x = 145,455.71

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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.