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Finding the Fourth Proportional to 255,095.16, 382,510.35 and 75,157.23

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Solution

The fourth proportional to 255,095.16, 382,510.35 and 75,157.23 is: 112,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,095.16 : 382,510.35 = 75,157.23 : x
  2. Step 2: Convert to fraction form
    255,095.16/382,510.35 = 75,157.23/x
  3. Step 3: Cross multiply
    255,095.16x = 382,510.35 × 75,157.23
  4. Step 4: Simplify right side
    255,095.16x = 28,748,418,352.33
  5. Step 5: Solve for x
    x = 28,748,418,352.33/255,095.16
  6. Step 6: Final answer
    x = 112,696.84

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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.