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Finding the Fourth Proportional to 210,259.86, 314,981.28 and 186,698.58

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Solution

The fourth proportional to 210,259.86, 314,981.28 and 186,698.58 is: 279,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,259.86 : 314,981.28 = 186,698.58 : x
  2. Step 2: Convert to fraction form
    210,259.86/314,981.28 = 186,698.58/x
  3. Step 3: Cross multiply
    210,259.86x = 314,981.28 × 186,698.58
  4. Step 4: Simplify right side
    210,259.86x = 58,806,557,702.58
  5. Step 5: Solve for x
    x = 58,806,557,702.58/210,259.86
  6. Step 6: Final answer
    x = 279,685.14

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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.