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Finding the Fourth Proportional to 147,465, 203,501.46 and 83,802.84

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Solution

The fourth proportional to 147,465, 203,501.46 and 83,802.84 is: 115,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,465 : 203,501.46 = 83,802.84 : x
  2. Step 2: Convert to fraction form
    147,465/203,501.46 = 83,802.84/x
  3. Step 3: Cross multiply
    147,465x = 203,501.46 × 83,802.84
  4. Step 4: Simplify right side
    147,465x = 17,054,000,292.15
  5. Step 5: Solve for x
    x = 17,054,000,292.15/147,465
  6. Step 6: Final answer
    x = 115,647.78

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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.