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Finding the Fourth Proportional to 145,549, 200,973.54 and 94,586.92

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Solution

The fourth proportional to 145,549, 200,973.54 and 94,586.92 is: 130,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,549 : 200,973.54 = 94,586.92 : x
  2. Step 2: Convert to fraction form
    145,549/200,973.54 = 94,586.92/x
  3. Step 3: Cross multiply
    145,549x = 200,973.54 × 94,586.92
  4. Step 4: Simplify right side
    145,549x = 19,009,468,150.10
  5. Step 5: Solve for x
    x = 19,009,468,150.10/145,549
  6. Step 6: Final answer
    x = 130,605.28

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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.