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Finding the Fourth Proportional to 170,784, 235,678.98 and 94,301.19

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Solution

The fourth proportional to 170,784, 235,678.98 and 94,301.19 is: 130,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784 : 235,678.98 = 94,301.19 : x
  2. Step 2: Convert to fraction form
    170,784/235,678.98 = 94,301.19/x
  3. Step 3: Cross multiply
    170,784x = 235,678.98 × 94,301.19
  4. Step 4: Simplify right side
    170,784x = 22,224,808,271.99
  5. Step 5: Solve for x
    x = 22,224,808,271.99/170,784
  6. Step 6: Final answer
    x = 130,134.02

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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.