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Finding the Fourth Proportional to 119,457.16, 164,850.90 and 65,746

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Solution

The fourth proportional to 119,457.16, 164,850.90 and 65,746 is: 90,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457.16 : 164,850.90 = 65,746 : x
  2. Step 2: Convert to fraction form
    119,457.16/164,850.90 = 65,746/x
  3. Step 3: Cross multiply
    119,457.16x = 164,850.90 × 65,746
  4. Step 4: Simplify right side
    119,457.16x = 10,838,287,271.40
  5. Step 5: Solve for x
    x = 10,838,287,271.40/119,457.16
  6. Step 6: Final answer
    x = 90,729.49

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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.