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Finding the Fourth Proportional to 180,792, 249,492.96 and 105,325.92

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Solution

The fourth proportional to 180,792, 249,492.96 and 105,325.92 is: 145,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 249,492.96 = 105,325.92 : x
  2. Step 2: Convert to fraction form
    180,792/249,492.96 = 105,325.92/x
  3. Step 3: Cross multiply
    180,792x = 249,492.96 × 105,325.92
  4. Step 4: Simplify right side
    180,792x = 26,278,075,545.52
  5. Step 5: Solve for x
    x = 26,278,075,545.52/180,792
  6. Step 6: Final answer
    x = 145,349.77

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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.