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Finding the Fourth Proportional to 153,967.08, 230,775.54 and 65,165.16

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Solution

The fourth proportional to 153,967.08, 230,775.54 and 65,165.16 is: 97,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967.08 : 230,775.54 = 65,165.16 : x
  2. Step 2: Convert to fraction form
    153,967.08/230,775.54 = 65,165.16/x
  3. Step 3: Cross multiply
    153,967.08x = 230,775.54 × 65,165.16
  4. Step 4: Simplify right side
    153,967.08x = 15,038,524,988.19
  5. Step 5: Solve for x
    x = 15,038,524,988.19/153,967.08
  6. Step 6: Final answer
    x = 97,673.64

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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.