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Finding the Fourth Proportional to 262,123.75, 361,730.91 and 148,946.50

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Solution

The fourth proportional to 262,123.75, 361,730.91 and 148,946.50 is: 205,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,123.75 : 361,730.91 = 148,946.50 : x
  2. Step 2: Convert to fraction form
    262,123.75/361,730.91 = 148,946.50/x
  3. Step 3: Cross multiply
    262,123.75x = 361,730.91 × 148,946.50
  4. Step 4: Simplify right side
    262,123.75x = 53,878,552,986.32
  5. Step 5: Solve for x
    x = 53,878,552,986.32/262,123.75
  6. Step 6: Final answer
    x = 205,546.25

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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.