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Finding the Fourth Proportional to 201,656.48, 302,501.52 and 61,416.32

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Solution

The fourth proportional to 201,656.48, 302,501.52 and 61,416.32 is: 92,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656.48 : 302,501.52 = 61,416.32 : x
  2. Step 2: Convert to fraction form
    201,656.48/302,501.52 = 61,416.32/x
  3. Step 3: Cross multiply
    201,656.48x = 302,501.52 × 61,416.32
  4. Step 4: Simplify right side
    201,656.48x = 18,578,530,152.81
  5. Step 5: Solve for x
    x = 18,578,530,152.81/201,656.48
  6. Step 6: Final answer
    x = 92,129.60

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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.