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Finding the Fourth Proportional to 102,002.90, 153,004.35 and 94,630.10

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Solution

The fourth proportional to 102,002.90, 153,004.35 and 94,630.10 is: 141,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.90 : 153,004.35 = 94,630.10 : x
  2. Step 2: Convert to fraction form
    102,002.90/153,004.35 = 94,630.10/x
  3. Step 3: Cross multiply
    102,002.90x = 153,004.35 × 94,630.10
  4. Step 4: Simplify right side
    102,002.90x = 14,478,816,940.94
  5. Step 5: Solve for x
    x = 14,478,816,940.94/102,002.90
  6. Step 6: Final answer
    x = 141,945.15

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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.