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Finding the Fourth Proportional to 176,154, 264,258.51 and 57,798.42

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Solution

The fourth proportional to 176,154, 264,258.51 and 57,798.42 is: 86,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,154 : 264,258.51 = 57,798.42 : x
  2. Step 2: Convert to fraction form
    176,154/264,258.51 = 57,798.42/x
  3. Step 3: Cross multiply
    176,154x = 264,258.51 × 57,798.42
  4. Step 4: Simplify right side
    176,154x = 15,273,724,349.55
  5. Step 5: Solve for x
    x = 15,273,724,349.55/176,154
  6. Step 6: Final answer
    x = 86,706.66

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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.