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Finding the Fourth Proportional to 127,812.66, 191,507.06 and 77,741.28

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Solution

The fourth proportional to 127,812.66, 191,507.06 and 77,741.28 is: 116,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,812.66 : 191,507.06 = 77,741.28 : x
  2. Step 2: Convert to fraction form
    127,812.66/191,507.06 = 77,741.28/x
  3. Step 3: Cross multiply
    127,812.66x = 191,507.06 × 77,741.28
  4. Step 4: Simplify right side
    127,812.66x = 14,888,003,973.44
  5. Step 5: Solve for x
    x = 14,888,003,973.44/127,812.66
  6. Step 6: Final answer
    x = 116,483.01

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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.