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Finding the Fourth Proportional to 176,223.80, 264,368.70 and 57,929.24

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Solution

The fourth proportional to 176,223.80, 264,368.70 and 57,929.24 is: 86,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,223.80 : 264,368.70 = 57,929.24 : x
  2. Step 2: Convert to fraction form
    176,223.80/264,368.70 = 57,929.24/x
  3. Step 3: Cross multiply
    176,223.80x = 264,368.70 × 57,929.24
  4. Step 4: Simplify right side
    176,223.80x = 15,314,677,870.79
  5. Step 5: Solve for x
    x = 15,314,677,870.79/176,223.80
  6. Step 6: Final answer
    x = 86,904.71

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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.