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Finding the Fourth Proportional to 114,428.30, 171,642.45 and 97,148.30

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Solution

The fourth proportional to 114,428.30, 171,642.45 and 97,148.30 is: 145,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428.30 : 171,642.45 = 97,148.30 : x
  2. Step 2: Convert to fraction form
    114,428.30/171,642.45 = 97,148.30/x
  3. Step 3: Cross multiply
    114,428.30x = 171,642.45 × 97,148.30
  4. Step 4: Simplify right side
    114,428.30x = 16,674,772,225.34
  5. Step 5: Solve for x
    x = 16,674,772,225.34/114,428.30
  6. Step 6: Final answer
    x = 145,722.45

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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.