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Finding the Fourth Proportional to 223,779.90, 308,807.16 and 128,220.14

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Solution

The fourth proportional to 223,779.90, 308,807.16 and 128,220.14 is: 176,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,779.90 : 308,807.16 = 128,220.14 : x
  2. Step 2: Convert to fraction form
    223,779.90/308,807.16 = 128,220.14/x
  3. Step 3: Cross multiply
    223,779.90x = 308,807.16 × 128,220.14
  4. Step 4: Simplify right side
    223,779.90x = 39,595,297,288.20
  5. Step 5: Solve for x
    x = 39,595,297,288.20/223,779.90
  6. Step 6: Final answer
    x = 176,938.58

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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.