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Finding the Fourth Proportional to 255,402.63, 352,424.76 and 146,501.33

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Solution

The fourth proportional to 255,402.63, 352,424.76 and 146,501.33 is: 202,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,402.63 : 352,424.76 = 146,501.33 : x
  2. Step 2: Convert to fraction form
    255,402.63/352,424.76 = 146,501.33/x
  3. Step 3: Cross multiply
    255,402.63x = 352,424.76 × 146,501.33
  4. Step 4: Simplify right side
    255,402.63x = 51,630,694,302.81
  5. Step 5: Solve for x
    x = 51,630,694,302.81/255,402.63
  6. Step 6: Final answer
    x = 202,154.12

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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.