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Finding the Fourth Proportional to 291,482.26, 437,350.46 and 102,078.50

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Solution

The fourth proportional to 291,482.26, 437,350.46 and 102,078.50 is: 153,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,482.26 : 437,350.46 = 102,078.50 : x
  2. Step 2: Convert to fraction form
    291,482.26/437,350.46 = 102,078.50/x
  3. Step 3: Cross multiply
    291,482.26x = 437,350.46 × 102,078.50
  4. Step 4: Simplify right side
    291,482.26x = 44,644,078,931.11
  5. Step 5: Solve for x
    x = 44,644,078,931.11/291,482.26
  6. Step 6: Final answer
    x = 153,162.25

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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.