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Finding the Fourth Proportional to 301,256.66, 451,569.62 and 101,508.02

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Solution

The fourth proportional to 301,256.66, 451,569.62 and 101,508.02 is: 152,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,256.66 : 451,569.62 = 101,508.02 : x
  2. Step 2: Convert to fraction form
    301,256.66/451,569.62 = 101,508.02/x
  3. Step 3: Cross multiply
    301,256.66x = 451,569.62 × 101,508.02
  4. Step 4: Simplify right side
    301,256.66x = 45,837,938,018.35
  5. Step 5: Solve for x
    x = 45,837,938,018.35/301,256.66
  6. Step 6: Final answer
    x = 152,155.77

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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.