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Finding the Fourth Proportional to 342,907.63, 473,216.33 and 189,948.16

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Solution

The fourth proportional to 342,907.63, 473,216.33 and 189,948.16 is: 262,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,907.63 : 473,216.33 = 189,948.16 : x
  2. Step 2: Convert to fraction form
    342,907.63/473,216.33 = 189,948.16/x
  3. Step 3: Cross multiply
    342,907.63x = 473,216.33 × 189,948.16
  4. Step 4: Simplify right side
    342,907.63x = 89,886,571,165.45
  5. Step 5: Solve for x
    x = 89,886,571,165.45/342,907.63
  6. Step 6: Final answer
    x = 262,130.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.