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Finding the Fourth Proportional to 261,804.64, 392,590.32 and 95,476

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Solution

The fourth proportional to 261,804.64, 392,590.32 and 95,476 is: 143,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804.64 : 392,590.32 = 95,476 : x
  2. Step 2: Convert to fraction form
    261,804.64/392,590.32 = 95,476/x
  3. Step 3: Cross multiply
    261,804.64x = 392,590.32 × 95,476
  4. Step 4: Simplify right side
    261,804.64x = 37,482,953,392.32
  5. Step 5: Solve for x
    x = 37,482,953,392.32/261,804.64
  6. Step 6: Final answer
    x = 143,171.46

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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.