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Finding the Fourth Proportional to 176,017, 263,792.22 and 146,623.72

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Solution

The fourth proportional to 176,017, 263,792.22 and 146,623.72 is: 219,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,017 : 263,792.22 = 146,623.72 : x
  2. Step 2: Convert to fraction form
    176,017/263,792.22 = 146,623.72/x
  3. Step 3: Cross multiply
    176,017x = 263,792.22 × 146,623.72
  4. Step 4: Simplify right side
    176,017x = 38,678,196,603.46
  5. Step 5: Solve for x
    x = 38,678,196,603.46/176,017
  6. Step 6: Final answer
    x = 219,741.26

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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.