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Finding the Fourth Proportional to 202,346, 279,237.64 and 112,922

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Solution

The fourth proportional to 202,346, 279,237.64 and 112,922 is: 155,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346 : 279,237.64 = 112,922 : x
  2. Step 2: Convert to fraction form
    202,346/279,237.64 = 112,922/x
  3. Step 3: Cross multiply
    202,346x = 279,237.64 × 112,922
  4. Step 4: Simplify right side
    202,346x = 31,532,072,784.08
  5. Step 5: Solve for x
    x = 31,532,072,784.08/202,346
  6. Step 6: Final answer
    x = 155,832.45

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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.