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Finding the Fourth Proportional to 153,875.60, 230,856.60 and 74,992.40

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Solution

The fourth proportional to 153,875.60, 230,856.60 and 74,992.40 is: 112,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,875.60 : 230,856.60 = 74,992.40 : x
  2. Step 2: Convert to fraction form
    153,875.60/230,856.60 = 74,992.40/x
  3. Step 3: Cross multiply
    153,875.60x = 230,856.60 × 74,992.40
  4. Step 4: Simplify right side
    153,875.60x = 17,312,490,489.84
  5. Step 5: Solve for x
    x = 17,312,490,489.84/153,875.60
  6. Step 6: Final answer
    x = 112,509.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.