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Finding the Fourth Proportional to 134,712, 185,806.44 and 114,428.16

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Solution

The fourth proportional to 134,712, 185,806.44 and 114,428.16 is: 157,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,712 : 185,806.44 = 114,428.16 : x
  2. Step 2: Convert to fraction form
    134,712/185,806.44 = 114,428.16/x
  3. Step 3: Cross multiply
    134,712x = 185,806.44 × 114,428.16
  4. Step 4: Simplify right side
    134,712x = 21,261,489,045.35
  5. Step 5: Solve for x
    x = 21,261,489,045.35/134,712
  6. Step 6: Final answer
    x = 157,829.21

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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.