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Finding the Fourth Proportional to 105,182.84, 145,152.12 and 67,457

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Solution

The fourth proportional to 105,182.84, 145,152.12 and 67,457 is: 93,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,182.84 : 145,152.12 = 67,457 : x
  2. Step 2: Convert to fraction form
    105,182.84/145,152.12 = 67,457/x
  3. Step 3: Cross multiply
    105,182.84x = 145,152.12 × 67,457
  4. Step 4: Simplify right side
    105,182.84x = 9,791,526,558.84
  5. Step 5: Solve for x
    x = 9,791,526,558.84/105,182.84
  6. Step 6: Final answer
    x = 93,090.53

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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.