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Finding the Fourth Proportional to 176,558.90, 264,838.35 and 157,205.30

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Solution

The fourth proportional to 176,558.90, 264,838.35 and 157,205.30 is: 235,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,558.90 : 264,838.35 = 157,205.30 : x
  2. Step 2: Convert to fraction form
    176,558.90/264,838.35 = 157,205.30/x
  3. Step 3: Cross multiply
    176,558.90x = 264,838.35 × 157,205.30
  4. Step 4: Simplify right side
    176,558.90x = 41,633,992,263.26
  5. Step 5: Solve for x
    x = 41,633,992,263.26/176,558.90
  6. Step 6: Final answer
    x = 235,807.95

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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.