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Finding the Fourth Proportional to 157,155.22, 216,873.54 and 85,535.32

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Solution

The fourth proportional to 157,155.22, 216,873.54 and 85,535.32 is: 118,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,155.22 : 216,873.54 = 85,535.32 : x
  2. Step 2: Convert to fraction form
    157,155.22/216,873.54 = 85,535.32/x
  3. Step 3: Cross multiply
    157,155.22x = 216,873.54 × 85,535.32
  4. Step 4: Simplify right side
    157,155.22x = 18,550,347,643.43
  5. Step 5: Solve for x
    x = 18,550,347,643.43/157,155.22
  6. Step 6: Final answer
    x = 118,038.38

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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.