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Finding the Fourth Proportional to 98,128.50, 135,417.33 and 53,416.50

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Solution

The fourth proportional to 98,128.50, 135,417.33 and 53,416.50 is: 73,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,128.50 : 135,417.33 = 53,416.50 : x
  2. Step 2: Convert to fraction form
    98,128.50/135,417.33 = 53,416.50/x
  3. Step 3: Cross multiply
    98,128.50x = 135,417.33 × 53,416.50
  4. Step 4: Simplify right side
    98,128.50x = 7,233,519,807.95
  5. Step 5: Solve for x
    x = 7,233,519,807.95/98,128.50
  6. Step 6: Final answer
    x = 73,714.77

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1.5x scale

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.