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Finding the Fourth Proportional to 180,543.06, 249,108.21 and 116,046

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Solution

The fourth proportional to 180,543.06, 249,108.21 and 116,046 is: 160,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,543.06 : 249,108.21 = 116,046 : x
  2. Step 2: Convert to fraction form
    180,543.06/249,108.21 = 116,046/x
  3. Step 3: Cross multiply
    180,543.06x = 249,108.21 × 116,046
  4. Step 4: Simplify right side
    180,543.06x = 28,908,011,337.66
  5. Step 5: Solve for x
    x = 28,908,011,337.66/180,543.06
  6. Step 6: Final answer
    x = 160,116.99

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