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Finding the Fourth Proportional to 102,970, 142,025.34 and 94,499.47

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Solution

The fourth proportional to 102,970, 142,025.34 and 94,499.47 is: 130,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970 : 142,025.34 = 94,499.47 : x
  2. Step 2: Convert to fraction form
    102,970/142,025.34 = 94,499.47/x
  3. Step 3: Cross multiply
    102,970x = 142,025.34 × 94,499.47
  4. Step 4: Simplify right side
    102,970x = 13,421,319,356.57
  5. Step 5: Solve for x
    x = 13,421,319,356.57/102,970
  6. Step 6: Final answer
    x = 130,342.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.