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Finding the Fourth Proportional to 207,314.16, 310,919.40 and 59,570.16

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Solution

The fourth proportional to 207,314.16, 310,919.40 and 59,570.16 is: 89,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,314.16 : 310,919.40 = 59,570.16 : x
  2. Step 2: Convert to fraction form
    207,314.16/310,919.40 = 59,570.16/x
  3. Step 3: Cross multiply
    207,314.16x = 310,919.40 × 59,570.16
  4. Step 4: Simplify right side
    207,314.16x = 18,521,518,405.10
  5. Step 5: Solve for x
    x = 18,521,518,405.10/207,314.16
  6. Step 6: Final answer
    x = 89,340.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.