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Finding the Fourth Proportional to 342,051, 472,030.38 and 191,148

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Solution

The fourth proportional to 342,051, 472,030.38 and 191,148 is: 263,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,051 : 472,030.38 = 191,148 : x
  2. Step 2: Convert to fraction form
    342,051/472,030.38 = 191,148/x
  3. Step 3: Cross multiply
    342,051x = 472,030.38 × 191,148
  4. Step 4: Simplify right side
    342,051x = 90,227,663,076.24
  5. Step 5: Solve for x
    x = 90,227,663,076.24/342,051
  6. Step 6: Final answer
    x = 263,784.24

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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.