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Finding the Fourth Proportional to 105,328.32, 145,351.44 and 57,580.56

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Solution

The fourth proportional to 105,328.32, 145,351.44 and 57,580.56 is: 79,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,328.32 : 145,351.44 = 57,580.56 : x
  2. Step 2: Convert to fraction form
    105,328.32/145,351.44 = 57,580.56/x
  3. Step 3: Cross multiply
    105,328.32x = 145,351.44 × 57,580.56
  4. Step 4: Simplify right side
    105,328.32x = 8,369,417,312.01
  5. Step 5: Solve for x
    x = 8,369,417,312.01/105,328.32
  6. Step 6: Final answer
    x = 79,460.28

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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.