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Finding the Fourth Proportional to 151,264.08, 208,742.40 and 84,196.08

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Solution

The fourth proportional to 151,264.08, 208,742.40 and 84,196.08 is: 116,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,264.08 : 208,742.40 = 84,196.08 : x
  2. Step 2: Convert to fraction form
    151,264.08/208,742.40 = 84,196.08/x
  3. Step 3: Cross multiply
    151,264.08x = 208,742.40 × 84,196.08
  4. Step 4: Simplify right side
    151,264.08x = 17,575,291,809.79
  5. Step 5: Solve for x
    x = 17,575,291,809.79/151,264.08
  6. Step 6: Final answer
    x = 116,189.46

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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.