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Finding the Fourth Proportional to 208,949.02, 288,415.29 and 133,497.34

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Solution

The fourth proportional to 208,949.02, 288,415.29 and 133,497.34 is: 184,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,949.02 : 288,415.29 = 133,497.34 : x
  2. Step 2: Convert to fraction form
    208,949.02/288,415.29 = 133,497.34/x
  3. Step 3: Cross multiply
    208,949.02x = 288,415.29 × 133,497.34
  4. Step 4: Simplify right side
    208,949.02x = 38,502,674,030.33
  5. Step 5: Solve for x
    x = 38,502,674,030.33/208,949.02
  6. Step 6: Final answer
    x = 184,268.27

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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.