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Finding the Fourth Proportional to 145,646.98, 200,697.15 and 111,656.14

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Solution

The fourth proportional to 145,646.98, 200,697.15 and 111,656.14 is: 153,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,646.98 : 200,697.15 = 111,656.14 : x
  2. Step 2: Convert to fraction form
    145,646.98/200,697.15 = 111,656.14/x
  3. Step 3: Cross multiply
    145,646.98x = 200,697.15 × 111,656.14
  4. Step 4: Simplify right side
    145,646.98x = 22,409,069,078.00
  5. Step 5: Solve for x
    x = 22,409,069,078.00/145,646.98
  6. Step 6: Final answer
    x = 153,858.80

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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.