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Finding the Fourth Proportional to 147,407.95, 203,430.17 and 82,897.48

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Solution

The fourth proportional to 147,407.95, 203,430.17 and 82,897.48 is: 114,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,407.95 : 203,430.17 = 82,897.48 : x
  2. Step 2: Convert to fraction form
    147,407.95/203,430.17 = 82,897.48/x
  3. Step 3: Cross multiply
    147,407.95x = 203,430.17 × 82,897.48
  4. Step 4: Simplify right side
    147,407.95x = 16,863,848,448.97
  5. Step 5: Solve for x
    x = 16,863,848,448.97/147,407.95
  6. Step 6: Final answer
    x = 114,402.57

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1.5x scale

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.