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Finding the Fourth Proportional to 105,417.68, 145,475.88 and 57,670.16

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Solution

The fourth proportional to 105,417.68, 145,475.88 and 57,670.16 is: 79,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.68 : 145,475.88 = 57,670.16 : x
  2. Step 2: Convert to fraction form
    105,417.68/145,475.88 = 57,670.16/x
  3. Step 3: Cross multiply
    105,417.68x = 145,475.88 × 57,670.16
  4. Step 4: Simplify right side
    105,417.68x = 8,389,617,275.74
  5. Step 5: Solve for x
    x = 8,389,617,275.74/105,417.68
  6. Step 6: Final answer
    x = 79,584.54

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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.