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Finding the Fourth Proportional to 282,707.28, 390,158.32 and 161,886.60

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Solution

The fourth proportional to 282,707.28, 390,158.32 and 161,886.60 is: 223,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,707.28 : 390,158.32 = 161,886.60 : x
  2. Step 2: Convert to fraction form
    282,707.28/390,158.32 = 161,886.60/x
  3. Step 3: Cross multiply
    282,707.28x = 390,158.32 × 161,886.60
  4. Step 4: Simplify right side
    282,707.28x = 63,161,403,886.51
  5. Step 5: Solve for x
    x = 63,161,403,886.51/282,707.28
  6. Step 6: Final answer
    x = 223,416.26

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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.