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Finding the Fourth Proportional to 283,013.16, 390,534.53 and 166,708.16

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Solution

The fourth proportional to 283,013.16, 390,534.53 and 166,708.16 is: 230,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,013.16 : 390,534.53 = 166,708.16 : x
  2. Step 2: Convert to fraction form
    283,013.16/390,534.53 = 166,708.16/x
  3. Step 3: Cross multiply
    283,013.16x = 390,534.53 × 166,708.16
  4. Step 4: Simplify right side
    283,013.16x = 65,105,292,079.22
  5. Step 5: Solve for x
    x = 65,105,292,079.22/283,013.16
  6. Step 6: Final answer
    x = 230,043.34

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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.