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Finding the Fourth Proportional to 178,111.98, 245,752.38 and 105,478.20

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Solution

The fourth proportional to 178,111.98, 245,752.38 and 105,478.20 is: 145,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,111.98 : 245,752.38 = 105,478.20 : x
  2. Step 2: Convert to fraction form
    178,111.98/245,752.38 = 105,478.20/x
  3. Step 3: Cross multiply
    178,111.98x = 245,752.38 × 105,478.20
  4. Step 4: Simplify right side
    178,111.98x = 25,921,518,688.12
  5. Step 5: Solve for x
    x = 25,921,518,688.12/178,111.98
  6. Step 6: Final answer
    x = 145,534.95

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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.