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Finding the Fourth Proportional to 161,856.30, 242,784.45 and 83,124.30

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Solution

The fourth proportional to 161,856.30, 242,784.45 and 83,124.30 is: 124,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,856.30 : 242,784.45 = 83,124.30 : x
  2. Step 2: Convert to fraction form
    161,856.30/242,784.45 = 83,124.30/x
  3. Step 3: Cross multiply
    161,856.30x = 242,784.45 × 83,124.30
  4. Step 4: Simplify right side
    161,856.30x = 20,181,287,457.14
  5. Step 5: Solve for x
    x = 20,181,287,457.14/161,856.30
  6. Step 6: Final answer
    x = 124,686.45

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1.5x scale

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.