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Finding the Fourth Proportional to 230,829, 346,304.88 and 97,714.86

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Solution

The fourth proportional to 230,829, 346,304.88 and 97,714.86 is: 146,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,829 : 346,304.88 = 97,714.86 : x
  2. Step 2: Convert to fraction form
    230,829/346,304.88 = 97,714.86/x
  3. Step 3: Cross multiply
    230,829x = 346,304.88 × 97,714.86
  4. Step 4: Simplify right side
    230,829x = 33,839,132,866.52
  5. Step 5: Solve for x
    x = 33,839,132,866.52/230,829
  6. Step 6: Final answer
    x = 146,598.27

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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.