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Finding the Fourth Proportional to 255,055.80, 382,255.65 and 155,109.90

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Solution

The fourth proportional to 255,055.80, 382,255.65 and 155,109.90 is: 232,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,055.80 : 382,255.65 = 155,109.90 : x
  2. Step 2: Convert to fraction form
    255,055.80/382,255.65 = 155,109.90/x
  3. Step 3: Cross multiply
    255,055.80x = 382,255.65 × 155,109.90
  4. Step 4: Simplify right side
    255,055.80x = 59,291,635,645.94
  5. Step 5: Solve for x
    x = 59,291,635,645.94/255,055.80
  6. Step 6: Final answer
    x = 232,465.35

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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.