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Finding the Fourth Proportional to 147,465.48, 203,502 and 83,803.20

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Solution

The fourth proportional to 147,465.48, 203,502 and 83,803.20 is: 115,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,465.48 : 203,502 = 83,803.20 : x
  2. Step 2: Convert to fraction form
    147,465.48/203,502 = 83,803.20/x
  3. Step 3: Cross multiply
    147,465.48x = 203,502 × 83,803.20
  4. Step 4: Simplify right side
    147,465.48x = 17,054,118,806.40
  5. Step 5: Solve for x
    x = 17,054,118,806.40/147,465.48
  6. Step 6: Final answer
    x = 115,648.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.