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Finding the Fourth Proportional to 186,710.72, 257,587.44 and 114,966.32

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Solution

The fourth proportional to 186,710.72, 257,587.44 and 114,966.32 is: 158,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710.72 : 257,587.44 = 114,966.32 : x
  2. Step 2: Convert to fraction form
    186,710.72/257,587.44 = 114,966.32/x
  3. Step 3: Cross multiply
    186,710.72x = 257,587.44 × 114,966.32
  4. Step 4: Simplify right side
    186,710.72x = 29,613,880,055.02
  5. Step 5: Solve for x
    x = 29,613,880,055.02/186,710.72
  6. Step 6: Final answer
    x = 158,608.35

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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.