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Finding the Fourth Proportional to 268,416, 370,421.17 and 145,916.62

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Solution

The fourth proportional to 268,416, 370,421.17 and 145,916.62 is: 201,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,416 : 370,421.17 = 145,916.62 : x
  2. Step 2: Convert to fraction form
    268,416/370,421.17 = 145,916.62/x
  3. Step 3: Cross multiply
    268,416x = 370,421.17 × 145,916.62
  4. Step 4: Simplify right side
    268,416x = 54,050,603,812.00
  5. Step 5: Solve for x
    x = 54,050,603,812.00/268,416
  6. Step 6: Final answer
    x = 201,368.79

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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.