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Finding the Fourth Proportional to 160,547.76, 221,325.12 and 112,652.64

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Solution

The fourth proportional to 160,547.76, 221,325.12 and 112,652.64 is: 155,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,547.76 : 221,325.12 = 112,652.64 : x
  2. Step 2: Convert to fraction form
    160,547.76/221,325.12 = 112,652.64/x
  3. Step 3: Cross multiply
    160,547.76x = 221,325.12 × 112,652.64
  4. Step 4: Simplify right side
    160,547.76x = 24,932,859,066.32
  5. Step 5: Solve for x
    x = 24,932,859,066.32/160,547.76
  6. Step 6: Final answer
    x = 155,298.70

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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.