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Finding the Fourth Proportional to 121,527, 182,281.32 and 42,646.50

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Solution

The fourth proportional to 121,527, 182,281.32 and 42,646.50 is: 63,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,527 : 182,281.32 = 42,646.50 : x
  2. Step 2: Convert to fraction form
    121,527/182,281.32 = 42,646.50/x
  3. Step 3: Cross multiply
    121,527x = 182,281.32 × 42,646.50
  4. Step 4: Simplify right side
    121,527x = 7,773,660,313.38
  5. Step 5: Solve for x
    x = 7,773,660,313.38/121,527
  6. Step 6: Final answer
    x = 63,966.53

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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.