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Finding the Fourth Proportional to 200,831.96, 301,144.98 and 106,113.08

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Solution

The fourth proportional to 200,831.96, 301,144.98 and 106,113.08 is: 159,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831.96 : 301,144.98 = 106,113.08 : x
  2. Step 2: Convert to fraction form
    200,831.96/301,144.98 = 106,113.08/x
  3. Step 3: Cross multiply
    200,831.96x = 301,144.98 × 106,113.08
  4. Step 4: Simplify right side
    200,831.96x = 31,955,421,354.34
  5. Step 5: Solve for x
    x = 31,955,421,354.34/200,831.96
  6. Step 6: Final answer
    x = 159,115.22

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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.