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Finding the Fourth Proportional to 164,128.23, 245,870.97 and 146,276.24

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Solution

The fourth proportional to 164,128.23, 245,870.97 and 146,276.24 is: 219,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128.23 : 245,870.97 = 146,276.24 : x
  2. Step 2: Convert to fraction form
    164,128.23/245,870.97 = 146,276.24/x
  3. Step 3: Cross multiply
    164,128.23x = 245,870.97 × 146,276.24
  4. Step 4: Simplify right side
    164,128.23x = 35,965,079,787.40
  5. Step 5: Solve for x
    x = 35,965,079,787.40/164,128.23
  6. Step 6: Final answer
    x = 219,127.93

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1.5x scale

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.