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Finding the Fourth Proportional to 312,530.58, 468,854.19 and 102,180.06

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Solution

The fourth proportional to 312,530.58, 468,854.19 and 102,180.06 is: 153,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,530.58 : 468,854.19 = 102,180.06 : x
  2. Step 2: Convert to fraction form
    312,530.58/468,854.19 = 102,180.06/x
  3. Step 3: Cross multiply
    312,530.58x = 468,854.19 × 102,180.06
  4. Step 4: Simplify right side
    312,530.58x = 47,907,549,265.45
  5. Step 5: Solve for x
    x = 47,907,549,265.45/312,530.58
  6. Step 6: Final answer
    x = 153,289.16

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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.