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Finding the Fourth Proportional to 102,368.22, 153,719.01 and 63,174.48

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Solution

The fourth proportional to 102,368.22, 153,719.01 and 63,174.48 is: 94,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368.22 : 153,719.01 = 63,174.48 : x
  2. Step 2: Convert to fraction form
    102,368.22/153,719.01 = 63,174.48/x
  3. Step 3: Cross multiply
    102,368.22x = 153,719.01 × 63,174.48
  4. Step 4: Simplify right side
    102,368.22x = 9,711,118,522.86
  5. Step 5: Solve for x
    x = 9,711,118,522.86/102,368.22
  6. Step 6: Final answer
    x = 94,864.58

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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.