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Finding the Fourth Proportional to 202,642.60, 304,050.30 and 97,407.40

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Solution

The fourth proportional to 202,642.60, 304,050.30 and 97,407.40 is: 146,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.60 : 304,050.30 = 97,407.40 : x
  2. Step 2: Convert to fraction form
    202,642.60/304,050.30 = 97,407.40/x
  3. Step 3: Cross multiply
    202,642.60x = 304,050.30 × 97,407.40
  4. Step 4: Simplify right side
    202,642.60x = 29,616,749,192.22
  5. Step 5: Solve for x
    x = 29,616,749,192.22/202,642.60
  6. Step 6: Final answer
    x = 146,152.63

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1.5x scale

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.