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Finding the Fourth Proportional to 230,303.16, 317,762.73 and 129,701.16

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Solution

The fourth proportional to 230,303.16, 317,762.73 and 129,701.16 is: 178,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,303.16 : 317,762.73 = 129,701.16 : x
  2. Step 2: Convert to fraction form
    230,303.16/317,762.73 = 129,701.16/x
  3. Step 3: Cross multiply
    230,303.16x = 317,762.73 × 129,701.16
  4. Step 4: Simplify right side
    230,303.16x = 41,214,194,685.77
  5. Step 5: Solve for x
    x = 41,214,194,685.77/230,303.16
  6. Step 6: Final answer
    x = 178,956.27

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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.