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Finding the Fourth Proportional to 200,829.48, 301,281.12 and 163,714.80

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Solution

The fourth proportional to 200,829.48, 301,281.12 and 163,714.80 is: 245,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,829.48 : 301,281.12 = 163,714.80 : x
  2. Step 2: Convert to fraction form
    200,829.48/301,281.12 = 163,714.80/x
  3. Step 3: Cross multiply
    200,829.48x = 301,281.12 × 163,714.80
  4. Step 4: Simplify right side
    200,829.48x = 49,324,178,304.58
  5. Step 5: Solve for x
    x = 49,324,178,304.58/200,829.48
  6. Step 6: Final answer
    x = 245,602.28

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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.