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Finding the Fourth Proportional to 186,952, 280,428.60 and 46,710.64

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Solution

The fourth proportional to 186,952, 280,428.60 and 46,710.64 is: 70,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,952 : 280,428.60 = 46,710.64 : x
  2. Step 2: Convert to fraction form
    186,952/280,428.60 = 46,710.64/x
  3. Step 3: Cross multiply
    186,952x = 280,428.60 × 46,710.64
  4. Step 4: Simplify right side
    186,952x = 13,098,999,380.30
  5. Step 5: Solve for x
    x = 13,098,999,380.30/186,952
  6. Step 6: Final answer
    x = 70,066.11

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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.