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Finding the Fourth Proportional to 186,482.32, 257,345.62 and 101,599.38

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Solution

The fourth proportional to 186,482.32, 257,345.62 and 101,599.38 is: 140,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,482.32 : 257,345.62 = 101,599.38 : x
  2. Step 2: Convert to fraction form
    186,482.32/257,345.62 = 101,599.38/x
  3. Step 3: Cross multiply
    186,482.32x = 257,345.62 × 101,599.38
  4. Step 4: Simplify right side
    186,482.32x = 26,146,155,437.72
  5. Step 5: Solve for x
    x = 26,146,155,437.72/186,482.32
  6. Step 6: Final answer
    x = 140,207.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.