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Finding the Fourth Proportional to 110,412.96, 152,389.74 and 65,088.24

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Solution

The fourth proportional to 110,412.96, 152,389.74 and 65,088.24 is: 89,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,412.96 : 152,389.74 = 65,088.24 : x
  2. Step 2: Convert to fraction form
    110,412.96/152,389.74 = 65,088.24/x
  3. Step 3: Cross multiply
    110,412.96x = 152,389.74 × 65,088.24
  4. Step 4: Simplify right side
    110,412.96x = 9,918,779,970.66
  5. Step 5: Solve for x
    x = 9,918,779,970.66/110,412.96
  6. Step 6: Final answer
    x = 89,833.48

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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.