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Finding the Fourth Proportional to 223,038.64, 307,852.32 and 138,107.44

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Solution

The fourth proportional to 223,038.64, 307,852.32 and 138,107.44 is: 190,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,038.64 : 307,852.32 = 138,107.44 : x
  2. Step 2: Convert to fraction form
    223,038.64/307,852.32 = 138,107.44/x
  3. Step 3: Cross multiply
    223,038.64x = 307,852.32 × 138,107.44
  4. Step 4: Simplify right side
    223,038.64x = 42,516,695,813.26
  5. Step 5: Solve for x
    x = 42,516,695,813.26/223,038.64
  6. Step 6: Final answer
    x = 190,624.80

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