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Finding the Fourth Proportional to 219,534.54, 302,846.71 and 146,940.47

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Solution

The fourth proportional to 219,534.54, 302,846.71 and 146,940.47 is: 202,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534.54 : 302,846.71 = 146,940.47 : x
  2. Step 2: Convert to fraction form
    219,534.54/302,846.71 = 146,940.47/x
  3. Step 3: Cross multiply
    219,534.54x = 302,846.71 × 146,940.47
  4. Step 4: Simplify right side
    219,534.54x = 44,500,437,148.24
  5. Step 5: Solve for x
    x = 44,500,437,148.24/219,534.54
  6. Step 6: Final answer
    x = 202,703.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.