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Finding the Fourth Proportional to 186,413.79, 257,254.01 and 101,530.85

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Solution

The fourth proportional to 186,413.79, 257,254.01 and 101,530.85 is: 140,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,413.79 : 257,254.01 = 101,530.85 : x
  2. Step 2: Convert to fraction form
    186,413.79/257,254.01 = 101,530.85/x
  3. Step 3: Cross multiply
    186,413.79x = 257,254.01 × 101,530.85
  4. Step 4: Simplify right side
    186,413.79x = 26,119,216,507.28
  5. Step 5: Solve for x
    x = 26,119,216,507.28/186,413.79
  6. Step 6: Final answer
    x = 140,114.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.