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Finding the Fourth Proportional to 102,153.17, 153,196.76 and 37,228.32

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Solution

The fourth proportional to 102,153.17, 153,196.76 and 37,228.32 is: 55,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,153.17 : 153,196.76 = 37,228.32 : x
  2. Step 2: Convert to fraction form
    102,153.17/153,196.76 = 37,228.32/x
  3. Step 3: Cross multiply
    102,153.17x = 153,196.76 × 37,228.32
  4. Step 4: Simplify right side
    102,153.17x = 5,703,258,004.24
  5. Step 5: Solve for x
    x = 5,703,258,004.24/102,153.17
  6. Step 6: Final answer
    x = 55,830.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.