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Finding the Fourth Proportional to 145,430.99, 200,627.40 and 85,004.18

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Solution

The fourth proportional to 145,430.99, 200,627.40 and 85,004.18 is: 117,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,430.99 : 200,627.40 = 85,004.18 : x
  2. Step 2: Convert to fraction form
    145,430.99/200,627.40 = 85,004.18/x
  3. Step 3: Cross multiply
    145,430.99x = 200,627.40 × 85,004.18
  4. Step 4: Simplify right side
    145,430.99x = 17,054,166,194.37
  5. Step 5: Solve for x
    x = 17,054,166,194.37/145,430.99
  6. Step 6: Final answer
    x = 117,266.39

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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.