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Finding the Fourth Proportional to 102,646.30, 153,969.45 and 97,834.90

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Solution

The fourth proportional to 102,646.30, 153,969.45 and 97,834.90 is: 146,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.30 : 153,969.45 = 97,834.90 : x
  2. Step 2: Convert to fraction form
    102,646.30/153,969.45 = 97,834.90/x
  3. Step 3: Cross multiply
    102,646.30x = 153,969.45 × 97,834.90
  4. Step 4: Simplify right side
    102,646.30x = 15,063,585,743.81
  5. Step 5: Solve for x
    x = 15,063,585,743.81/102,646.30
  6. Step 6: Final answer
    x = 146,752.35

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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.