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Finding the Fourth Proportional to 281,407.64, 388,340.76 and 152,345.16

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Solution

The fourth proportional to 281,407.64, 388,340.76 and 152,345.16 is: 210,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,407.64 : 388,340.76 = 152,345.16 : x
  2. Step 2: Convert to fraction form
    281,407.64/388,340.76 = 152,345.16/x
  3. Step 3: Cross multiply
    281,407.64x = 388,340.76 × 152,345.16
  4. Step 4: Simplify right side
    281,407.64x = 59,161,835,216.72
  5. Step 5: Solve for x
    x = 59,161,835,216.72/281,407.64
  6. Step 6: Final answer
    x = 210,235.36

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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.