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Finding the Fourth Proportional to 147,577.37, 203,655.81 and 83,915.16

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Solution

The fourth proportional to 147,577.37, 203,655.81 and 83,915.16 is: 115,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,577.37 : 203,655.81 = 83,915.16 : x
  2. Step 2: Convert to fraction form
    147,577.37/203,655.81 = 83,915.16/x
  3. Step 3: Cross multiply
    147,577.37x = 203,655.81 × 83,915.16
  4. Step 4: Simplify right side
    147,577.37x = 17,089,809,881.08
  5. Step 5: Solve for x
    x = 17,089,809,881.08/147,577.37
  6. Step 6: Final answer
    x = 115,802.38

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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.