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Finding the Fourth Proportional to 134,256.16, 185,278.16 and 73,829.28

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Solution

The fourth proportional to 134,256.16, 185,278.16 and 73,829.28 is: 101,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,256.16 : 185,278.16 = 73,829.28 : x
  2. Step 2: Convert to fraction form
    134,256.16/185,278.16 = 73,829.28/x
  3. Step 3: Cross multiply
    134,256.16x = 185,278.16 × 73,829.28
  4. Step 4: Simplify right side
    134,256.16x = 13,678,953,152.52
  5. Step 5: Solve for x
    x = 13,678,953,152.52/134,256.16
  6. Step 6: Final answer
    x = 101,886.97

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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.