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Finding the Fourth Proportional to 282,814.31, 390,409.56 and 168,130.09

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Solution

The fourth proportional to 282,814.31, 390,409.56 and 168,130.09 is: 232,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.31 : 390,409.56 = 168,130.09 : x
  2. Step 2: Convert to fraction form
    282,814.31/390,409.56 = 168,130.09/x
  3. Step 3: Cross multiply
    282,814.31x = 390,409.56 × 168,130.09
  4. Step 4: Simplify right side
    282,814.31x = 65,639,594,459.66
  5. Step 5: Solve for x
    x = 65,639,594,459.66/282,814.31
  6. Step 6: Final answer
    x = 232,094.32

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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.