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Finding the Fourth Proportional to 127,272, 190,908.42 and 43,032.84

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Solution

The fourth proportional to 127,272, 190,908.42 and 43,032.84 is: 64,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,272 : 190,908.42 = 43,032.84 : x
  2. Step 2: Convert to fraction form
    127,272/190,908.42 = 43,032.84/x
  3. Step 3: Cross multiply
    127,272x = 190,908.42 × 43,032.84
  4. Step 4: Simplify right side
    127,272x = 8,215,331,492.51
  5. Step 5: Solve for x
    x = 8,215,331,492.51/127,272
  6. Step 6: Final answer
    x = 64,549.40

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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.