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Finding the Fourth Proportional to 307,842.16, 461,809.40 and 108,127.34

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Solution

The fourth proportional to 307,842.16, 461,809.40 and 108,127.34 is: 162,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,842.16 : 461,809.40 = 108,127.34 : x
  2. Step 2: Convert to fraction form
    307,842.16/461,809.40 = 108,127.34/x
  3. Step 3: Cross multiply
    307,842.16x = 461,809.40 × 108,127.34
  4. Step 4: Simplify right side
    307,842.16x = 49,934,222,009.00
  5. Step 5: Solve for x
    x = 49,934,222,009.00/307,842.16
  6. Step 6: Final answer
    x = 162,207.22

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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.