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Finding the Fourth Proportional to 119,432.93, 164,812.50 and 64,985.32

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Solution

The fourth proportional to 119,432.93, 164,812.50 and 64,985.32 is: 89,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,432.93 : 164,812.50 = 64,985.32 : x
  2. Step 2: Convert to fraction form
    119,432.93/164,812.50 = 64,985.32/x
  3. Step 3: Cross multiply
    119,432.93x = 164,812.50 × 64,985.32
  4. Step 4: Simplify right side
    119,432.93x = 10,710,392,728.09
  5. Step 5: Solve for x
    x = 10,710,392,728.09/119,432.93
  6. Step 6: Final answer
    x = 89,677.05

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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.