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Finding the Fourth Proportional to 114,570.10, 171,509.55 and 100,746.10

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Solution

The fourth proportional to 114,570.10, 171,509.55 and 100,746.10 is: 150,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,570.10 : 171,509.55 = 100,746.10 : x
  2. Step 2: Convert to fraction form
    114,570.10/171,509.55 = 100,746.10/x
  3. Step 3: Cross multiply
    114,570.10x = 171,509.55 × 100,746.10
  4. Step 4: Simplify right side
    114,570.10x = 17,278,918,275.26
  5. Step 5: Solve for x
    x = 17,278,918,275.26/114,570.10
  6. Step 6: Final answer
    x = 150,815.25

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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.