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Finding the Fourth Proportional to 295,688, 443,602.20 and 96,008.96

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Solution

The fourth proportional to 295,688, 443,602.20 and 96,008.96 is: 144,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688 : 443,602.20 = 96,008.96 : x
  2. Step 2: Convert to fraction form
    295,688/443,602.20 = 96,008.96/x
  3. Step 3: Cross multiply
    295,688x = 443,602.20 × 96,008.96
  4. Step 4: Simplify right side
    295,688x = 42,589,785,875.71
  5. Step 5: Solve for x
    x = 42,589,785,875.71/295,688
  6. Step 6: Final answer
    x = 144,036.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.