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Finding the Fourth Proportional to 205,698.40, 308,547.60 and 194,034.40

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Solution

The fourth proportional to 205,698.40, 308,547.60 and 194,034.40 is: 291,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698.40 : 308,547.60 = 194,034.40 : x
  2. Step 2: Convert to fraction form
    205,698.40/308,547.60 = 194,034.40/x
  3. Step 3: Cross multiply
    205,698.40x = 308,547.60 × 194,034.40
  4. Step 4: Simplify right side
    205,698.40x = 59,868,848,437.44
  5. Step 5: Solve for x
    x = 59,868,848,437.44/205,698.40
  6. Step 6: Final answer
    x = 291,051.60

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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.