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Finding the Fourth Proportional to 186,706.36, 280,059.06 and 46,465

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Solution

The fourth proportional to 186,706.36, 280,059.06 and 46,465 is: 69,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,706.36 : 280,059.06 = 46,465 : x
  2. Step 2: Convert to fraction form
    186,706.36/280,059.06 = 46,465/x
  3. Step 3: Cross multiply
    186,706.36x = 280,059.06 × 46,465
  4. Step 4: Simplify right side
    186,706.36x = 13,012,944,222.90
  5. Step 5: Solve for x
    x = 13,012,944,222.90/186,706.36
  6. Step 6: Final answer
    x = 69,697.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.