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Finding the Fourth Proportional to 230,101, 317,536.35 and 126,733.21

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Solution

The fourth proportional to 230,101, 317,536.35 and 126,733.21 is: 174,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101 : 317,536.35 = 126,733.21 : x
  2. Step 2: Convert to fraction form
    230,101/317,536.35 = 126,733.21/x
  3. Step 3: Cross multiply
    230,101x = 317,536.35 × 126,733.21
  4. Step 4: Simplify right side
    230,101x = 40,242,400,927.18
  5. Step 5: Solve for x
    x = 40,242,400,927.18/230,101
  6. Step 6: Final answer
    x = 174,890.16

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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.