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Finding the Fourth Proportional to 282,117.24, 389,319.30 and 153,055.50

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Solution

The fourth proportional to 282,117.24, 389,319.30 and 153,055.50 is: 211,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,117.24 : 389,319.30 = 153,055.50 : x
  2. Step 2: Convert to fraction form
    282,117.24/389,319.30 = 153,055.50/x
  3. Step 3: Cross multiply
    282,117.24x = 389,319.30 × 153,055.50
  4. Step 4: Simplify right side
    282,117.24x = 59,587,460,121.15
  5. Step 5: Solve for x
    x = 59,587,460,121.15/282,117.24
  6. Step 6: Final answer
    x = 211,215.24

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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.