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Finding the Fourth Proportional to 186,700.19, 280,051.30 and 46,458.82

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Solution

The fourth proportional to 186,700.19, 280,051.30 and 46,458.82 is: 69,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,700.19 : 280,051.30 = 46,458.82 : x
  2. Step 2: Convert to fraction form
    186,700.19/280,051.30 = 46,458.82/x
  3. Step 3: Cross multiply
    186,700.19x = 280,051.30 × 46,458.82
  4. Step 4: Simplify right side
    186,700.19x = 13,010,852,937.47
  5. Step 5: Solve for x
    x = 13,010,852,937.47/186,700.19
  6. Step 6: Final answer
    x = 69,688.48

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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.