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Finding the Fourth Proportional to 164,779.84, 227,316 and 97,664.32

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Solution

The fourth proportional to 164,779.84, 227,316 and 97,664.32 is: 134,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,779.84 : 227,316 = 97,664.32 : x
  2. Step 2: Convert to fraction form
    164,779.84/227,316 = 97,664.32/x
  3. Step 3: Cross multiply
    164,779.84x = 227,316 × 97,664.32
  4. Step 4: Simplify right side
    164,779.84x = 22,200,662,565.12
  5. Step 5: Solve for x
    x = 22,200,662,565.12/164,779.84
  6. Step 6: Final answer
    x = 134,729.24

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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.