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Finding the Fourth Proportional to 186,948, 280,422.60 and 46,706.64

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Solution

The fourth proportional to 186,948, 280,422.60 and 46,706.64 is: 70,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,948 : 280,422.60 = 46,706.64 : x
  2. Step 2: Convert to fraction form
    186,948/280,422.60 = 46,706.64/x
  3. Step 3: Cross multiply
    186,948x = 280,422.60 × 46,706.64
  4. Step 4: Simplify right side
    186,948x = 13,097,597,426.06
  5. Step 5: Solve for x
    x = 13,097,597,426.06/186,948
  6. Step 6: Final answer
    x = 70,060.11

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Why These Related Problems?

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