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Finding the Fourth Proportional to 259,698.88, 358,384.80 and 146,532.16

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Solution

The fourth proportional to 259,698.88, 358,384.80 and 146,532.16 is: 202,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,698.88 : 358,384.80 = 146,532.16 : x
  2. Step 2: Convert to fraction form
    259,698.88/358,384.80 = 146,532.16/x
  3. Step 3: Cross multiply
    259,698.88x = 358,384.80 × 146,532.16
  4. Step 4: Simplify right side
    259,698.88x = 52,514,898,855.17
  5. Step 5: Solve for x
    x = 52,514,898,855.17/259,698.88
  6. Step 6: Final answer
    x = 202,214.58

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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.